This enzyme belongs to the family of isomerases, specifically those racemases and epimerases acting on other compounds. The systematic name of this enzyme class is 16-hydroxysteroid 16-epimerase.
References
Dahm K, Lindlau M, Breuer H (1968). "[Steroid epimerase--a new enzyme of estrogen metabolism]". Biochim. Biophys. Acta. 159 (2): 377–89. doi:10.1016/0005-2744(68)90086-7. PMID5657462.