Bring a large pot of salted water to a boil and cook the pasta until just al dente, then drain and set aside.
Heat olive oil in a deep skillet over medium heat and add the minced garlic, sautéing until fragrant and golden, about 1 minute.
Add the chopped tomatoes to the skillet and simmer gently, stirring occasionally, until they break down and the sauce thickens slightly, about 10 minutes.
Pour in the heavy cream, stirring slowly to combine, and let the sauce simmer for another 2-3 minutes, until it turns silky and coats the tomatoes evenly.
Stir in the chopped basil leaves, allowing their aroma to infuse the sauce, and season with salt and pepper to taste.
Add the cooked pasta to the sauce, tossing gently to ensure every strand is coated with the creamy tomato mixture.
Serve the creamy tomato basil pasta hot, garnished with additional basil leaves if desired.