Nice game, Flori!
I played as Mansa, and had Lincoln, Brennus, Zara, Charle, Asoka, and SB as opponents. Why? I don't know... I need help choosing opponents for a culture vc. Financial trait was mostly wasted without a lot of cottages, but I settled my 3 legends along a long river so it wasn't totally wasted. I used a really nice GPFarm as one of the legend cities, and even used the capitol (also legend) as a supplemental GPFarm.
To make up for low cottage density, I thought Wonderspam might improve my finish date, and it seemed to work OK. I got about 8 GA plus the free one from music, but a lot of GS (made academy in each legend city, and bulbed Philo to get my second religion).
I only had 9 cities, totally peaceful, got marble and stone and gold. Schwed Paya let me adopt pacifism early, and Parthenon, also had Pyramids. GE used to hurry Sistines. I adopted Brennus religion since it was the first and only spread to me. Brennus was generally hated by all, and this cost me relations with everyone except him (Zara was originally also hindu, but converted to christian and the free religion and started hating us too).
It was about 1100AD and I was headed for about a 1600AD finish, when Asoka and Zara DOW'd me. I got Brennus to join, and that maybe saved my game. By losing Goa, I now had only 8 cities and the final cathaderals being built in legend2 and legend3 were halted (all hammers lost with no compensation???). I was about 1 or 2 turns from having Zara take my legend3 city when I was able to buy peace for techs. I had plenty of space to build a new city, chop 2 temples out, and finish the cathedrals, but this was an unecessary delay.
All the bribing to war and buying peace meant I had to give up my monopoly on Liberalism precursors, and I lost the liberalism race and had to tech Nationalism myself.

It meant I missed out on getting Christianity from Theology. Plus the slaving and building units and such... I lost at least 20 turns on my finish date. But at least I won the game and submitted.
To be honest... 1710AD is one of my best finish dates for a culture victory, so I'm satisfied with it. Actually, I'm pretty pleased that I seem to be getting much better at culture victories in general. So... I'm pretty confident I can improve this result if I have time for some more play.
(This was my second attempt, btw... in the first attempt as Willem and max number of opponents... Zara and Cyrus DOW'd me and took two of my legend cities before I quit in disgust.

I learned that fewer opponents to enable peaceful expansion on this otherwise large land map is smarter).
Question: Does anyone else think Civil Service is over-rated for culture VC? It seems that unless you get it from Oracle sling, Bureacracy is obsolete in favor of Free Speech so quickly it isn't worth the bother. If CS wasn't on the path to Nationalism you could almost skip it without losing anything, imo.