Preheat oven to 400°F. Butter 9x9x2-inch metal baking pan. Whisk buttermilk, eggs, and basil in large bowl. Blend cornmeal and next 4 ingredients in processor 5 seconds. Add 1/2 cup butter; blend until coarse meal forms. Add corn kernels. Using 8 on/off turns, blend until kernels are coarsely chopped. Stir dry ingredients into buttermilk mixture; transfer to pan.
Bake cornbread until golden on top and tester inserted into center comes out clean, about 45 minutes. Cool 20 minutes. Serve warm or at room temperature.