I used a couple chunks of 6x6 post with 2-3 pieces of 2x6 board attached. I lag bolted the contraption up through the table and did the same to the top to attach the press. I ended up with a slightly lower height which fits the stool I sit on better. It's gone a decade so far and I use the press regularly.

I suspect a similar unit could be made of 2xX lumber of the desired height made into a box. I would add 1 or 2 boards to the inside for greater strength.