Cut 3/4 of the tomatoes in half, and place in a bowl. Set whole tomatoes aside for garnish.
Arrange basil leaves on each of 4 plates. Top each with 1/4 of the cut tomatoes. Drizzle with olive oil and balsamic vinegar. Garnish with reserved whole tomatoes, the feta cheese, and oregano. Season to taste with salt and pepper. Serve.
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