J.H. Koolen and J. Park found a boundary for the maximum size of the coclique in the neighborhood of a vertex of a distance-regular graph. Using this boundary, we prove that distance-regular graphs with the intersection arrays {83, 54, 21; 1, 6, 63}, {80, 54, 12; 1, 6, 60}, and {93, 64, 24; 1, 12, 62} do not exist.