Preheat oven to 400°F.
In a medium bowl, toss whole cherry tomatoes with olive oil, 1/2 tsp salt, and lots of black pepper until coated.
Make sure everything is coated well in the baking dish!
Place block of feta in center of tomatoes and season with more pepper.
Bake until tomatoes have burst and feta has softened, approximately 30 minutes.
In the meantime, prepare noodles.
Increase oven temperature to 450°F. Continue to cook until feta and tomatoes are golden brown, approximately 10-15 mins.
Set aside 1/2 cup of cooking water, then drain the rest of the water.
As soon as feta and tomatoes come out of the oven, stir in garlic.
Use back of spoon to smash tomatoes and feta into a smooth and creamy sauce. If some of the oil doesn't combine, that's fine.
Toss in pasta and basil until coated. Mix in pasta water 2 tbsps at a time to help the mixture become true sauce. Season if necessary & top with more basil.