Marinate the seafood. Squeeze the lime juice. Add finely chopped garlic, pepper and salt. Marinate the peeled shrimp in the sauce. Put it in the refrigerator for 20-30 minutes so that the shrimp soak.
Cook the spaghetti. The pasta takes about 7-12 minutes to cook, but it's best to check the time indicated on the pack. Pour 2 liters of water into a saucepan and bring to a boil. After boiling, add the spaghetti whole, so that they fan out. Add about 10 g of salt and, without covering, cook over low heat, stirring occasionally. Add a spoonful of vegetable oil. After cooking, drain them in a colander. No need to rinse with water, add another spoonful of oil.
Prepare the sauce for the shrimp pasta. Pour olive oil into a frying pan, add garlic and tomatoes. Add basil, salt, pepper and shrimp. Stir in tomato paste and simmer over medium heat for 3-5 minutes.
Add spaghetti to the sauce. When the sauce is ready, add the pasta and mix thoroughly. Remove the pan from the stove and let the dish sit for 2 minutes.