First, change tech order to
Pottery >
Bronze Working. This step is important as you need to invest at least 1

into the granary so you do not get a penalty when whipping.
Second, we will attempt to improve the best food tiles first. The corn yields 6

and so does the pig. Pig takes 4 turns to pasture while corn takes 5 turns... which allows us to go after the pig first even though it is further away:
Next turn, proceed to the pig and complete the pasture in 4 turns. This bring us to turn 5, and a few modifications: start a granary and emphasize food in the capital. This forces new population on the field, rather than being useless specialists!
Complete farming the rice. Even though it is a weaker tile than corn, you now have 2 turns invested into it and therefore gain more food from completing it first.
The next few turns are straight forward. After the rice, farm the corn.
On turn 12, revolt to Slavery when offered; there's no reason not to do so you are Spiritual and there are no events. The capital also happens to have grown to size 4, a good time to bring out the whip on the granary. I won't go into the details of why it's better to whip this turn rather than the next one, however feel free to ask.
On turn 14, you repeat the same trick you performed at the start. One turn of farming the rice then cancel. Turn 15, pasture on the pigs.
Turn 19, you go back to the rice and complete the farm. You only have to hit enter a few times now...
Which allows a capital of size 13 by turn 25. If you do anything different than these actions (bar a mirror movement), you will be short a few food at size 12.