(continued from above)
Let's take a look at Central Europe:

Sachsen (Saxony) has made quite a bit of a habit of bashing in the head of Pommerania. I suspect the latter will come crying to Rome and ask for protection soon.

Another administrative advance. We could now become a full-fledged theocracy, but why? Rome is an Empire and our current Empress is not one such fanatic.
Case in point, we passed a law allowing the worship of the heretic faiths in our empire:

(there were some religious revolts by fanatic orthodox who wanted us to do more to wipe out the heathens but we quickly crushed them.)
For our new idea group, we chose the expansion Idea. More colonies, more profit.
Speaking of profit:

Sure, why not. After all, what could go wrong with releasing thieves on some island?

A new merchant ship type was developed, allowing for easier travel across the oceans.
Military technology increased again:

We now have better things that go boom.

And once more we let ourselves be guided by German influences and developed the Schwarze Reiter.
Their new kit looked awesome:

and they were quite the
bad asses as well.
We colonised some island in the South Atlantic to have a better base there.

Other than that, I can't ever imagine it will be put to good use.
Our native Explorer now had charted the eastern waters and even those of Australia:
Meanwhile, some crusty old gentlemen felt they weren't getting enough of the pie.

"So, I've already appointed young native girls to lead our exploration efforts. What makes you think I, a woman empress, will suddenly decide crusty old aristocrats should be the only ones getting the chance for advancement?"
"..."
"As a sidenote, the Varangians haven't gotten enough practice with their axes lately."
We lost some stability due to our insistence on meritocracy, but preserved the quality of our navy. Worth it.
Meanwhile, our first African colony, the island of Fernando Po, became a central hub for the slave trade.

Sachsen got caught with the hand in the cookie jar. We decided to do nothing as we did not want to expand into Germany right now.

More colonists. Good.
Meanwhile, in the Caribbean:

WTF? How did they manage to pull this off in three years time?
Half a year later they genocided the friendly Mayans in the Honduran jungle and in Belize and expanded there too. This would not do. The Jewish menace has to be stopped.
But first we shore up public support by building a new huge palace.

We told another explorer to circumnavigate the globe.

Sadly, the waves of the Pacific ate him too.
As a warning to Saxony and to stabilize the frontier, we managed to annex Bohemia.

Now we had a nice large salient into Saxon lines.

This was enough to scare them off for a while.

Technology increases. Like it says on the cover.

Thankfully, we already owned much of the cloth industry due to our control over Northern Italy, Flanders and Persia.
Which means:
1. More money for us
2. Fuck you, Mongol wool industry.

Another Russian duchy, another annexation.
We developed a new musket.
But what good does a new musket do you if you cannot test it?

No more picking on the Mayans for you, Eastsaxons. See how you like it when people stronger than you come sailing to your shores to take over.

Say hallo to Legio I Parthica and Legio X Italica.

What's that? You don't like being occupied and want peace?
Soon after we took London, they surrendered and turned over their Caribbean territories and Mayan territories to us.
Two Colonies were formed, which had the Carib and Mayan nations as their primary culture. Thanks to La Malinche, we had no trouble integrating them.

We thus became known as a global empire.

GLORIOUS ROMAN BUILDINGS BEST BUILDINGS. No more ugly blocky buildings. It is time to return to arches, spires, domes and mosaics.
We colonised two more islands:
In the Indian Ocean, the Island of Bourbon, primarily settled by French settlers:

and in South America, the Falklands:

More technology.
Thanks to our explorers, new trade routes with China, previously cut off by the Mongol hordes, were now flourishing:

Unfortunately, not everybody in our colonies liked tea:

A visit by a legion put everything back in order.
Meanwhile, we declared war to wipe out the Timurids once and for all:

This time, they had found allies among the (real) Indians again. They attacked first, crushing the III Augusta, which retreated all the way to Samarkand.
However, the Legion had given as good as it got - inflicting as many casualties against a foe twice their number. The enemy units entrenched in the Himalayas.
This would not do. For the glory of Rome, no enemy must be allowed to occupy a province. No matter if we will have to attack into the mountains, no matter the cost. Rome will not back down to the Mongols.
Two legions were assembled and ordered to dislodge the Timurids and Indians from the mountains. They had the advantage of terrain and numbers.

We had the Landsknechte and Schwarze Reiter.
After this victory, occupation and annexation of the Timurids was just a question of Time.
The Timurids had been wiped out.
The date was:
and the Empire had succesfully expanded in the East:
TL, DR:
- native explorers are awesome
- La Malinche is a nice touch
- Timurids have stopped existing
- Landsknechte and Schwarze Reiter are really really cool, especially when used to expand the empire and not to plunder the population like in OTL.
- We stopped the Eastsaxons from genociding the Mayans.