If we’re allowed to roll, here’s what CoyoteCode gave me. Not bad. Not great, but not bad.
_: 4D6.HIGH(3) = [5, 5, 6, 2] = 16
4D6.HIGH(3) = [1, 1, 4, 3] = 8
4D6.HIGH(3) = [5, 4, 2, 5] = 14
4D6.HIGH(3) = [2, 4, 5, 1] = 11
4D6.HIGH(3) = [5, 2, 6, 3] = 14
4D6.HIGH(3) = [6, 3, 1, 5] = 14