Combine 1-1/2 cups flour, potato flakes, undissolved yeast, sugar, salt and dill weed in a large mixer bowl. Heat milk and butter until very warm (120° to 130°F). Add warm liquid and eggs to flour mixture; beat with electric mixer on low for 30 seconds. Beat an additional 3 minutes at medium speed.
Stir in enough remaining flour to make a soft dough. Knead 8 to 10 minutes on a lightly floured surface, until smooth and elastic. Form into a ball; cover and let rest 10 minutes.
Grease two 9-inch round cake pans. Divide dough into 24 equal pieces; shape into balls and place 12 in each pan. If desired, dip top of balls in additional potato flakes. Cover; let rise in warm, draft-free place until doubled in size, about 1 hour.
Bake at 375°F for 20 to 25 minutes until golden brown. Let cool 5 minutes and then invert onto rack.