Preheat griddle and preheat oven to 400 Deg. F. Generously spread butter on one side of two slices of bread. Layer a few slices of cheese on one slice of the bread, top with tomato slices, then more cheese. Top with the other slice of buttered bread. Repeat with remaining slices of bread, cheese and tomato for how many sandwiches you are making. Place on griddle and grill until the butter is starting to melt and bread is a little golden, about 2 minutes. Repeat on other side. Place sandwiches on a cookie sheet and place in oven until the cheese is super melty and the bread is golden brown, about 4 minutes, watching carefully so they don't burn. Remove from oven, slice and serve hot.