Eggs with yolks

12 large eggs 1 garlic clove , minced 1/4 teaspoon kosher salt , more to taste 1/2 cup mayonnaise 2 tablespoons tomato paste 2 teaspoons red wine vinegar ,[...]

4 tablespoons olive oil 1 small onion , finely chopped 1 lb tomato , peeled, seeded and chopped 2 tablespoons chopped fresh basil 6 eggs salt & freshly ground[...]