<p>We continue the study of optimal chordal packings, with a focus on packing subspaces of dimensions greater than one. Building on a principle outlined in a previous work, where the authors utilized maximal affine block designs and maximal sets of mutually unbiased bases to construct Grassmannian 2-designs, we demonstrate that their method can be extended to other types of block designs. This extension leads to a variety of optimal subspace packings characterized by the orthoplex bound. More generally, we prove that any optimal chordal packing is necessarily a fusion frame and that its spatial complement is also optimal.</p>