A process fluid pressure measurement system includes a process fluid pressure transmitter coupled to a coplanar manifold. The coplanar manifold includes a first bore coupleable to a source of process fluid, and a vent passageway connected to the first bore and terminating in a vent hole. The coplanar manifold includes at least one port configured to receive a valve stem. Directly engaging the valve stem with the coplanar manifold selectively vents the coplanar manifold. Aspects of the present invention also include a coplanar manifold for coupling fluid to a process fluid pressure transmitter, and a method of venting such a coplanar manifold.