Bring 12 cups (2.8 liters) of water to a boil in a large pot or wide skillet. Add the kosher salt and stir to dissolve. Add the bucatini and cook, stirring frequently, until barely tender and still firm in the center, about 1 to 2 minutes shy of the package directions.
12 cups (3 quarts / 2.8 L) water, 1 tsp (3 g) kosher salt, 8 oz (227 g) bucatini pasta
While the pasta cooks, place the whole black peppercorns in a dry skillet over medium heat. Toast, shaking the pan frequently, until fragrant, about 30 seconds. Transfer to a mortar and pestle and crush coarsely, leaving visible pieces.
2 tsps (5 g) whole black peppercorns
Finely grate the Pecorino Romano cheese and set aside.
2 cups (~180 g) Pecorino Romano cheese
Reserve ½ cup (120 ml) of the pasta cooking water, then drain the pasta.
½ cup (120 ml) reseved pasta water
In the same skillet used for the pepper, melt the butter over medium heat. Add the crushed black pepper and stir briefly to bloom the spice. Pour in the reserved pasta water and whisk to combine the butter and water into a unified base.
2 tbsps (28 g) unsalted butter
Sprinkle 1 cup (about 90 g) of the grated Pecorino Romano into the skillet, stirring constantly until melted and smooth. Remove the skillet from the heat.
Transfer the drained bucatini directly into the skillet. Toss to coat in the cheese base. Add the remaining Pecorino Romano and continue tossing until the sauce becomes creamy and evenly coats the pasta. Add additional hot pasta water, 1 tablespoon (15 ml) at a time, if needed to loosen the sauce.
Serve immediately, garnished with additional grated Pecorino Romano and freshly cracked black pepper.