Place feta in the center of a 9x13-inch baking dish; surround with tomatoes. Drizzle with oil; add garlic, oregano, red pepper flakes, salt, and pepper.
Taste and adjust seasoning with salt or oregano.
Bake 30–35 minutes until tomatoes burst and feta is soft.
Stir in basil to make the sauce; toss with the pasta.
Serve in a white ceramic baking dish with salad or bread.
Notes
Use block feta for creaminess.
Store in the fridge for 3 days or freeze for 1 month.