I needed a proper way to display this beauty and made some wall mounts (link to files).
I mounted using #8 x 1-1/4" screws and #8 x 1-1/2" wall anchors (like these). I have drywall, if you don't, make sure you use the correct hardware for your wall type.
The hole spacing should be 7" to 7-1/8" apart and level horizontally (picture below).
You can measure and mark drill holes 7-1/16" apart, or alternatively:
I mounted one bracket and then held the second bracket where the ray gun sat nicely, and marked the second drill hole. You may need someone with a good eye to stand farther back and tell you if adjustment is needed for perfect alignment.
The bracket holes are slightly oversized - you can make minor adjustments to the position before the screw is fully fastened down to the bracket. Make sure to firmly hold the bracket to the wall as you put in each screw (otherwise it may spin).