A novel maize variety designated PHWRW and seed, plants and plant parts thereof. Methods for producing a maize plant that comprise crossing maize variety PHWRW with another maize plant. Methods for producing a maize plant containing in its genetic material one or more traits introgressed into PHWRW through backcross conversion and/or transformation, and to the maize seed, plant and plant part produced thereby. Hybrid maize seed, plant or plant part produced by crossing the variety PHWRW or a trait conversion of PHWRW with another maize variety. Inbred maize varieties derived from maize variety PHWRW, methods for producing other inbred maize varieties derived from maize variety PHWRW and the inbred maize varieties and their parts derived by the use of those methods.