01 -
Heat oven to 400°F. Place one rack in the middle of the oven. Place one rack at the very top, close to the broiler.
02 -
Pour 2 tablespoons of the olive oil into an 8- or 9-inch baking dish (or something similar). Add the tomatoes, garlic, shallots, and chilies. Sprinkle with a pinch of sea salt and pepper to taste. Toss to coat. Add the feta. Drizzle with the remaining 2 tablespoons of olive oil. Crack more pepper over top to taste.
03 -
Transfer pan to your oven's middle rack for 20 minutes. After the 20 minutes, transfer the pan to the top rack, and switch to your oven's broiler setting. Broil on high for 5 minutes (or more or less), keeping a close watch the entire time. While the tomatoes broil, heat up some bread — this can be done in a toaster oven or on the very bottom rack of your oven while the tomatoes broil.
04 -
When the tomatoes are blistered to your liking, remove the pan from the heat. Toss in a handful of basil and stir gently to combine. Serve with slices of warm bread.