  Inspired by Bondarenko's counter-example to Borsuk's conjecture, we notice
some strongly regular graphs that provide examples of ball packings whose
chromatic numbers are significantly higher than the dimensions. In particular,
from generalized quadrangles we obtain unit ball packings in dimension
$q^3-q^2+q$ with chromatic number $q^3+1$, where $q$ is a prime power. This
improves the previous lower bound for the chromatic number of ball packings.
