Five friends are all of different heights. The average height of the three tallest friends is exactly the height of one of them. The average height of the four tallest friends is exactly the height of one of them. The average height of all five friends is exactly the height of one of them. The second-tallest friend is 16 cm taller than the secondshortest one. The tallest friend is taller than the shortest one by how many centimeters?