Gochujang Sesame Noodles

Name: Gochujang-Sesame Noodles
Ingredients: 8–10 oz. fresh or dried wheat noodles (such as lo mein, udon, or ramen); Kosher salt; ¼ cup gochujang; 3 Tbsp. soy sauce; 2 Tbsp. light or dark brown sugar; 2 Tbsp. tahini; 2 tsp. toasted sesame oil; 2 Tbsp. vegetable oil; 1 bunch broccoli rabe, coarsely chopped; 4 garlic cloves, finely chopped; Freshly cracked black pepper; Handful of torn basil leaves, plus sprigs for serving; Toasted sesame seeds and lime wedges (for serving)