If it has no trim, I'd support the bottom evenly. The tanks with trim can be supported on just the edges because the trim prevents the whole bottom from touching the stand anyways. Since yours lacks it, I would definitely support it over the whole bottom.
One option is to put a piece of foam underneath the tank that can compress so there are no high points.
One option is to put a piece of foam underneath the tank that can compress so there are no high points.