  2834 inequivalent spreads under the group $\mathrm{P}\Gamma\mathrm{L}(4,8)$.
Therefore there are the same number of translation planes of order 64 with
kernel containing $\mathrm{GF}(8)$, and we describe various properties of these
planes.
  Each portion of the search was performed at least twice with
independently-written software, and the results checked for internal
consistency by computation of the numbers of spreads rooted at a line not in
the spread, thus enhancing confidence in the correctness of the search.
