In a large bowl, stir together flour, sugar, baking soda and salt. In another bowl, combine the eggs, bananas, oil, buttermilk and vanilla; add to flour mixture, stirring just until combined. Fold in nuts.
Pour into a greased 9-in. x 5-in. x 3-in. loaf pan. Bake at 325° for 1 hour 20 minutes or until a toothpick comes out clean. Cool on wire rack. Yield: 1 loaf.