Are there any Protestant denominations that practice monasticism?

What it says on the cover. I'm interested in: - monasteries that are self-styled Protestant or belong to denominations generally recognized as Protestant - not ecumenical such as Taize - specifically celibate (preferably gender-separate), not merely closed or intentional communities - if there are any examples in hierarchical denominations, I'm interested in to what degree such monasteries are acknowledged or approved by church leadership.