  We continue the study of optimal chordal packings, with emphasis on packing
subspaces of dimension greater than one. Following a principle outlined in a
previous work, where the authors use maximal affine block designs and maximal
sets of mutually unbiased bases to construct Grassmannian $2$-designs, we show
that their method extends to other types of block designs, leading to a
plethora of optimal subspace packings characterized by the orthoplex bound.
More generally, we show that any optimal chordal packing is necessarily a
fusion frame and that its spatial complement is also optimal.
