Gnocchi with Pomodoro Sauce

oven to 350. put potatoes directly on middle rack, bake till tender, 1 hr 15 min. remove, cut in half lengthwise,. when cool enough to handle (20 min). scoop. flesh into a ricer, discard skins. process thru ricer into a bowl. add but do not stir in cheese, egg yolks, 1 1/2 tsp salt, and pepper., sprinkle flour over mix. using hands, fold together till well inc. and forms a soft dough ball, about 1 min. wrap ball w/ plastic wrap, refrigerate 30 min. remove, unwrap, place on floured work surface. cut dough evenly into 5 pieces,. using hands, roll into 12 1/2 in ropes,. cut ea rope into 1 in pieces., roll ea piece. till about 1 1/2 in long. place on lightly floured baking sheet lined w/ parchment paper. bring 16 cups water, 1/4 cup salt to boil in lg dutch oven, fill a lg bowl w/ ice water. add gnocchi to boiling water, cook, stir occasionally, till float, about 2 min. transfer to ice bath, let cool 3 min. drain well., transfer to lg bowl, add oil, toss gently, cover, refrigerate 3 hrs. process tomatoes in a blender till smooth, about 10 seconds, transfer to lg saucepan, add basil, garlic, sugar. bring to simmer, stir occasionally, till thickened, about 45 min. add butter, remaining 1/2 tsp salt, stir till butter melts. place gnocchi in sauce, simmer med-low, stir occasionally till warmed, about 5 min. garnish w/ cheese and basil.