  We calculate the Brauer group of a certain Calabi-Yau threefold discovered by
Mark Gross and Sorin Popescu, which is a small resolution of a complete
intersection of type (2,2,2,2) with 64 ordinary double points. We find the
Brauer group is (Z/8Z)^2, which is the largest known example of a Brauer group
of a Calabi-Yau threefold.
