Boil the potatoes in their skins until tender. Let them cool slightly, then peel and mash them using a potato ricer until completely smooth.
Combine the mashed potatoes with the flour, egg yolks, and salt. Gently knead until you have a soft, non-sticky dough. Be careful not to overwork the dough, or the gnocchi will become tough.
Divide the dough into four portions. Roll each portion into a long rope about 2 cm in diameter. Cut the ropes into 2 cm pieces.
You can shape the cut pieces with a fork to create ridges, which will help the sauce cling to the gnocchi.
Bring a large pot of salted water to a boil. Drop the gnocchi into the boiling water and cook until they float to the surface (about 2-3 minutes). Drain well.
In a dry skillet, toast the pine nuts over low heat until golden brown, then set aside.
In a skillet, melt the butter over medium heat. Add the heavy cream and cook, stirring constantly, until the sauce has slightly thickened.
Stir in the grated Parmesan cheese until it is completely melted into the sauce.
Add the cooked gnocchi to the creamy sauce and gently toss to coat each piece.
Serve sprinkled with toasted pine nuts, fresh basil leaves, and extra grated Parmesan cheese.
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