Hmm, the Romans were the first ones I discovered...
I also went for Conquest, but I guess I got a bit "carried away" by my builder addiction again: when I was sure that we are on a separate island, I started a pre-build for the Lighthouse, and when I did not have any contacts for a long time, I tried to avoid drowning in unit upkeep by investing my shields into "unnecessary things" like Colossus, Forbidden Palace and Hanging Gardens ("invest shields now, get them back via gold-rushes later"). I even researched Construction so I could bring my entire first ring to size 12...
Consequently my Conquest date was also a bit later than I first expected.

Not getting any leaders until like 5 turns before the end didn't help too much either.

(But at least I had two leaders in the end, just in time for my invasion of Greece.

)
After all the infrastructure build-up, the Golden Age was triggered with a Bowman, and then the capital was running at 30spt (one horseman per turn), 4 more cities at 20spt (rush worker for 80g, then one horseman or galley per turn, or, if gold was lacking, one Bowman per turn) and 2 more cities at 15spt for a horseman or galley every two turns.
After another tedious exercise in ship-chaining, Conquest was finally achieved in 310 AD.