  We define a Khovanov homotopy type for $sl_2(\mathbb{C})$ colored links and
quantum spin networks and derive some of its basic properties. In the case of
$n$-colored B-adequate links, we show a stabilization of the homotopy types as
the coloring $n\rightarrow\infty$, generalizing the tail behavior of the
colored Jones polynomial. Finally, we also provide an alternative, simpler
stabilization in the case of the colored unknot.
