Here's how I've done mine. I'm not much of a carpenter/craftsman. Basically I own some tools, so hopefully someone who knows better can chime in with any mistakes I've made. That being said, tank seems pretty sturdy.
A look from the right side. You can see the bottom of the tank (black part) sitting on Owens Corning styrofoam insulation material, then the stand. The top portion of the stand is basically a rectangle, with the front edge sitting on the original studs for the wall (more on that later):
Right side of the stand (left side is the same):
Close up of the front of the right side. The green 2x4 is from the original framing for the wall, as is the 2x4 to the right.
Another look of the front right side, from under the stand:
The top left corner of the stand.
A similar view, zoomed out a little. So, the studs that the wires are running through are from the framing for the room. The wall is a non-load bearing wall, so I chopped those studs down to height. The 2x4 running the length of the tank is the front of the rectangle that I previously mentioned.
And for frame of reference, the tank from the front:
Hope this helps.
David