I have spare sockets and PGZ 18 lamps, so here is a bit more detail....
With the lamp installed in the socket, the overall length from the base of the socket to end of the tit on the top of the lamp is 7-3/4".
And with the lamp installed, from the base of the socket to the centerline of the emitter bulb is 5-1/2". This is what you want to have centered in the hood - it is not centered in the lamp envelope.
If I recall correctly, the mounting bolt centers on the socket for the PGZ are slightly different than on mogul sockets (narrower), but the mounting bracket can usually have the holes slotted with a small file.
With the lamp installed in the socket, the overall length from the base of the socket to end of the tit on the top of the lamp is 7-3/4".
And with the lamp installed, from the base of the socket to the centerline of the emitter bulb is 5-1/2". This is what you want to have centered in the hood - it is not centered in the lamp envelope.
If I recall correctly, the mounting bolt centers on the socket for the PGZ are slightly different than on mogul sockets (narrower), but the mounting bracket can usually have the holes slotted with a small file.