Peel the tomatoes and cut into thin slices. Rub a baking dish with the garlic, then grease with half of the butter. Place the potatoes and tomatoes in the pan and sprinkle with the basil between the layers and season well. Add the cream, cover with aluminum foil and bake for 45 minutes.
Remove the aluminum foil, pour breadcrumbs and parmesan over the vegetables and spread the remaining butter over them. Bake for another 20-30 minutes without aluminum foil.
Take out of the oven, let rest for 5-10 minutes, then garnish with basil and enjoy.