I've gotten six regularly when pursuing a Golden Age strategy in a game, usually allied to a Wonder and Religion push. Usually go that route if I target and get the Mausoleum.
The Parthenon, Taj, Music, Economics and Communism [maybe Fusion] become priority targets, Caste and Pacifism get a longer roll and Mercantilism looks nice until State Property. This approach is usually a Production Economy with lots of Workshops, none or few cottages or farms.
Philosophical or Industrial suit this approach, Expansive is good for the extra health for early industrialization, and of course Financial will also do nicely. Problem is to survive the early game, this won't work at higher levels in bad neighborhoods.
I've never pursued a GA record, so I assume seven should be doable if you push for it. Get a nice site for the National Park & preserves and you could still be spitting out specialists in the Modern Age. Then a bit of luck re the mix should see you home.