17. There are 8 weights of different masses, each with an integer gram value. If any 4 of these weights are taken, two are placed on the left pan of a balance, and the other two on the right pan, the balance will never be in equilibrium, and the heaviest of these 4 weights will always be on the heavier side. What is the minimum weight of the heaviest weight among the 8 weights? $\qquad$
$34$