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Cook the pasta according to the instructions on the packet.
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While the pasta is cooking, place the Parmesan, almonds, garlic and chillies into a food processor or blender. Process for a minute to combine the ingredients.
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Add around two thirds of the tomatoes to the food processor along with the anchovies, one and a half handfuls of basil and olive oil. Process until the ingredients turn into a paste.
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Taste the mixture and season with salt and pepper.
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Reserve some of the water the pasta has cooked in, then drain the pasta and return it to the saucepan. Stir in the paste until the pasta is thoroughly coated. Add a little of the reserved water to loosen the pasta if necessary.
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Transfer to bowls and top with the remaining cherry tomatoes (halved) and basil leaves.