ok, let me write the basic data of the city then:
Hindux, in the year 1128 AD, Size: 23 founded 6000 BC (by barbarians)
It lies inland directly on river surrounded by farmland and some towns with several mined hills in the north and south.
Culture

: Influencial 75200 +193.77 per turn
Food

: 98 Worked Tiles + 5 form Buildings = 103 Base Food. +33% Modifier: 136 alltogether
Growth: +63(!) per turn. seems to grow every 15 if i don't build units there.
Production

: 53 Worked Tiles + 10 from Specialist + Modifier (100%) = 126 Hammers!
Health: 41

> 30
when i could build a fishers hut the game tells me i'd get +21 food...
the game is on snail speed yet most things are finished in just one turn. and this city is not the only of this category in my empire. two other cities reached influencial status not long ago and are comparable - they do not have as much growth but more production. and i have a city that lies both on a river AND the coast, but it's quite young now so it'll take some time to beat Hindux...
EDIT: yeah, i builded the artesian well before i changed civic from senate - so now i don't get food from trade routes anymore, therefore the bonus is a bit smaller.
despite that i've noticed that i use far more farms compared to the AI such that i 'discover' food resources near my cities more freqent. Hindux for example had originally only corn. but as the ages passed potatoes and wheat had been discovered on the farmland around this metropole!