  The ${\bf 27}_{J=3/2}$-plet mass spectrum and the ${\bf 27}_{3/2}$-$\bar{\bf
10}$ mass splittings are computed in the framework of the minimal SU(3)$_f$
extended Skyrme model. As functions of the Skyrme charge $e$ and the SU(3)$_f$
symmetry breaking parameters the predictions are presented in tabular form. The
predicted mass splitting ${\bf 27}_{3/2}$-$\bar{\bf 10}$ is the smallest among
all SU(3)$_f$ baryonic multiplets.
