Cook the penne pasta according to package instructions in a large pot of salted boiling water until al dente. Drain and set aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about 1 minute until fragrant, being careful not to burn it.
Pour in the diced tomatoes (with their juices) and bring to a simmer. Cook for about 5 minutes, allowing the flavors to meld.
Stir in the heavy cream and dried basil. Season with salt and pepper to taste. Let the sauce simmer for another 3-4 minutes until it thickens slightly.
Add the cooked penne pasta to the skillet and toss to coat the pasta evenly with the sauce.
Remove from heat and stir in the grated Parmesan cheese until melted and creamy.
Serve immediately, garnished with fresh basil leaves.