Sorry...
Through discussion, your plan evolved into putting the columns in a wall that runs parallel to the tank.
So essentially, you have a line support. If you take the flooring out of the picture (which without analysis, you should), you would practically be trying to support a large rectangular object on a wall. (eg: Try standing up a book on its end and balancing a full cooler of beer on top. It is somewhat precarious.)
The safer way to support the tank would be to situate the supports so that they are in a plane and not in a line (ie: 2x outside the wall, 2x inside), in a rectangular configuration under the tank. As Chad mentioned, you should install beams to support the tank evenly across its length atop the columns. Otherwise, your tank will almost certainly fail.
As Chad also mentioned, your basement floor is going to be a problem. You will need to check the shear capacity of the concrete at the bottom of the lolly columns. This involves checking thickness, strength and reinforcing of the slab (likely only WWF to control cracking).
With the relatively small size of the baseplates, you will end up with incredibly high distributed loads. This will has potential to cause shear failure in the likely thin, low strength residential slab-on-grade, which will result in cracking, potential water migration from the subgrade and worst off, uneven settlement of the columns (and the tank above). You will either have to install footings or distribute the load across the top of the slab - which involves running beams or plates across the floor between the columns.
I've said it before on this forum and others whenever these topics come up: Take all of this with a grain of salt. I am not a PE and have not not reviewed the actual conditions. I assume no responsibility for any information that may be inferred from this post. If you are serious, get a professional engineer to review the condition. Besides potential massive damage to your house, a tank this large involves potential for loss of life.
I know a guy who maintained a 4' 150 gal tank that was on a third floor of a new house. It fell through the floor and resulted in $15K damage to the house. Monster tanks on wood-framed construction scare the he ll out of me.