Preheat oven to 350°F. Grease a standard 9x5" loaf pan.
In a small bowl, weigh out the wheat berries and mill on the finest setting of your grain mill. Add baking soda, baking powder, salt, and cinnamon. Whisk well.
In a medium bowl, mash the bananas, then add the remaining wet ingredients: melted butter, milk, vanilla, eggs, white, and brown sugar.
Add the dry ingredients to the wet ingredients. Stir gently just until combined. Do not overmix.
Fold in nuts or chocolate chips if using.
Pour into prepared loaf pan and bake 55–65 minutes, until a toothpick comes out clean.
Cool in the pan for 15 minutes before transferring to a rack.