Baked Ziti Provencal

Name: Baked Ziti Provencal
Ingredients: Kosher salt and freshly ground black pepper; 2 tablespoons extra-virgin olive oil; 4 cloves garlic, thinly sliced; 1/4 teaspoon crushed red pepper flakes; One 28-ounce can plum tomatoes, crushed by hand; One 15-ounce can plum tomatoes, crushed by hand; 1 sprig fresh basil, plus 2 tablespoons chopped fresh basil leaves; 1 cup fresh ricotta; 1 pound dried ziti; 10 ounces jarred or frozen artichoke hearts (thawed); 1 cup sliced jarred roasted red peppers; 1/2 cup pitted nicoise or Kalamata olives, coarsely chopped; 1 1/2 cups shredded mozzarella; 1 cup grated Parmesan or ricotta salata; 1 1/2 cups shredded provolone