Tomato Tarts with Basil and Fresh Goat Cheese

20 to 25 fresh basil leaves, cut into thin strips 

2 garlic cloves, finely minced 

2 cups cherry tomatoes, halved 

1/4 cup extra-virgin olive oil, plus more for drizzling 

Salt, to taste  

1 sheet frozen puff pastry, about 10 by 12 inches, partially thawed 

5 oz. fresh goat cheese 

About 1/2 cup milk 

1 large red tomato  

1 large yellow tomato  

6 medium tomatoes, quartered