Flat sides are your enemy. Shape = strength.
I agree with Jim's concerns with flexture but that can be dealt with by the application of shape to the design.
18 gauge should be plenty in my opinion, but that depends on a few variables.
The greatest variable being the height and width along with the shape.
A bead roller can add contours to flat sections for added strength from the shape and the baffles can have the flanges rolled for a similar stiffening effect to reduce flexing.
If you want to
engineer the tank instead of just making it thicker, the calculation for determining the load requirement for the wall plate is:
Ms= (0.00292 * NHW * 1.6) / (D/A)
Ms is the minimum material strength for the wall in pounds per lineal inch
N is the design load in "G's" - (military aircraft use 35G to withstand a crash) (civilian aircraft would use 9G max)
H is the "head" of liquid in feet
W is the density of the liquid - 62.4 lbs/cuft for water
D/A = ((height of the tank in inches squared) + (width of the tank in inches squared)) divided by the (height) * (width)
This formula describes a round bottom tank with a rectangular top. This is presented for relative comparison purposes... sort of an order of magnitude TLAR type of estimate.
For a 12 inch wide tank 48 inch long holding water:
minimum material strength =
(0.00292)(9g's)(1ft head)(62.4 lbs/ft3)(1.6) / (148) =
0.018 lbs/inch
the 148 above was calculated as

12 inch) squared + (48 inch) squared divided by 12 * 48 = 148
The max load of 16 gauge 6061 T4
aluminum is 1360 lbs per inch so you can see that 0.018 lbs per inch calculated is many thousands of times stronger than required.
Now to compare aluminum to
stainless steel, the 6061 T4 has a yield strength of 16,000 psi and the
stainless steel yields at 42,000 psi.
These calculations don't take into account localized impact damage from sharp objects but since the tank will be behind or under cabinetry, I assume that isn't a concern.
I'll stick to my assessment that 18 gauge stainless is WAY more than thick enough. The calculation isn't even nominally close to the strength of 18 ga stainless.
I would flange roll all lightening holes in the baffle and add some stiffening beads to the tank walls and top with a bead roller to prevent
oil canning and
noise. A good TIG welder can make that tank bullet proof.
If anyone wants to challenge the calculation, PM me, I'm always open to dialog; but on an order of scale, I think the calc proves that wall thickness isn't the issue. A well "shaped" and supported tank could be made out of quite light materials.