In a large bowl, combine flour, sugar, baking soda, and salt.
In another mixing bowl, combine eggs, bananas, oil, buttermilk and vanilla; add to dry ingredients, stirring just until combined. Fold in nuts.
Pour into a greased 9 in x 5 in x 3 in baking pan. (We often use a pan with 8 little individual loaves and cook half the time.)
Bake at 325 degrees for 1 hour and 20 minutes or until a toothpick inserted near the center comes out clean.
Cool for 10 minutes; remove from pan to a wire rack. Yield: 1 loaf.