Mix dry ingredients together in a medium bowl. Whisk eggs, milk, and butter in another bowl, and pour into the dry mixture. Mix until uniform. Fold in the corn and parmesan.
Grease a 9-inch x 9-inch pan and line with parchment. Pour batter into pan and smooth evenly. Top with additional corn and cracked black pepper if available. Bake in a preheated oven for 20–25 minutes.