Preheat oven to 350 degrees. Whisk flour, cornmeal, baking powder, and baking soda in a medium bowl; set aside. Generously butter a 10-inch cast-iron skillet, and place in the oven to preheat.
Whisk eggs and melted butter in a large bowl. Whisk in sugar, salt, milk, and vinegar. Add flour mixture, and whisk until just smooth. Stir in corn kernels.
Transfer batter to heated pan. Pour cream into center of batter; do not stir. Bake until pale golden brown and set, 35 to 40 minutes. Let cool on a wire rack 15 minutes. Serve warm.