Broccolini and Walnut Pesto Pasta

Ingredients

• cavatappi or other small tube pasta
• Kosher salt
• broccolini , woody ends trimmed, cut into 2" pieces
• Parmesan, cut into 1" cubes; plus more finely grated for serving
• garlic cloves
• oil-packed anchovies
• basil leaves
• raw walnuts
• extra-virgin olive oil