  Given a hyperbolic quadric of PG(5,2), there are 28 points off this quadric
and 56 lines skew to it. It is shown that the $(28_6, 56_3)$-configuration
formed by these points and lines is isomorphic to the combinatorial
Grassmannian of type $G_2(8)$. It is also pointed out that a set of seven
points of $G_2(8)$ whose labels share a mark corresponds to a Conwell heptad of
PG(5,2). Gradual removal of Conwell heptads from the $(28_6,
56_3)$-configuration yields a nested sequence of binomial configurations
identical with part of that found to be associated with Cayley-Dickson algebras
(arXiv:1405.6888).
