looking at your design I am assuming you will be nailing/screwing the frame to the side walls correct? it looks like the only support (other than the vertical members in the front and back) that will be supporting the weight on the sides it the two top 2x4s being attached to your wall....I don't know if there will be a nailing surface for the sides. (which would normally act as your side sheathing)
most walls studs are spaced 16" on center but in small areas like that, some contractors just put the studs on the ends. and depending on how the connected the corners you might not have a stud to nail into. I say this because you have take into consideration the thickness of the drywall and the thickness of your frame material. (in your case 2x4 which = 1 3/4 x 3 3/4) and how you connect your frame work. If you don't have somewhere to attach then, in essence, wont have side sheathing and the potential for failure. realistically i dont think your frame will buckle forward but there is always the risk since you are introducing a lot of weight. I would consider adding two vertical support on the back corners and some diagonal supports just as a safety precaution.
also, is the stand 6' or the tank? if its the tank and your stand is longer than 6' then you are looking at stud spacing of your frame at 3' in the front (based on your design)....which I would not recommend. 155gl is a lot of weight you are expecting the one stud in the middle to support. ( I know there is weight distribution and all but i'm just saying in general that it is heavy as hell). Are you adding doors?
Attached is a picture of what I was talking about when mentioning the thickness of the walls etc. Sometimes I have a hard time explaining things. LOL. if i am correct, there are not a lot of nailing options to the side walls....and if you only have one (front) center stud spaced about 3' from the next stud....with all that weight....mmmmmm...i would add a little more support.
Maybe im just nuking it but i would not want to take the risk of having all that water on my floor, damaging my house, possibly injuring anyone nearby if it fails, and killing any livestock. ive seen one slightly damaged corner on a 6' long stand and the weight of it all caused everything to tilt to that corner...and that's with all the remaining framework solid. that's just me. =) hope this makes sense and helps.
