In a medium bowl, combine the tomatoes and basil. Season with salt and pepper to taste and set aside while you saute the shrimp.
Divide the shrimp between two 8-or 9-inch pie pans and pat them completely dry with a paper towel. Arrange the shrimp so they lay flat and are evenly spaced in the pans.
Heat 2 large skillets over medium heat. Season one side of the shrimp with salt and pepper; add a teaspoon of oil to each pan and turn the heat to high. Invert a pie pan over a skillet so the shrimp fall into the pan all at once. Repeat with the other shrimp. Saute the shrimp, undisturbed, until they turn golden brown on the bottom, about 2 minutes. Add a remaining teaspoon oil and half the garlic to each pan. Turn the heat off and turn the shrimp over with tongs. Cook for 1 minute in the residual heat of the pans. Transfer the shrimp to the bowl with the tomato mixture and toss to combine. Divide the shrimp among 4 plates or a serving platter and serve hot or at room temperature.
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