By the time I can research code of laws, my economy is on the verge of collapse.
My civic changes are organized religion so that I can spread Hinduism now. It later had to be reversed due to the collapsing economy.
I completed the Parthenon, and the Hanging Gardens (the extra health is needed).
At this point the game looks really bad as India is running away with tech. I can't declare war on India because of the variant, so I am really stumped what to do.
At this point I think the cultural win goal is very low, as I haven't build enough wonders and lack a variety of religions.
Events of note during this time are:
The capture of another barb city at 320 AD:
The capture of yet another barb city at 620 AD:
I did at least get up to the middle of the pack at this time.