>>At this depth, the water would exert a pressure of (62 lbf/ft^3)*(25 ft) = 1550 lbf/ft^2 gauge.<<

So 1550 / 144 = 10.76 psi
From website below 45 ounces of adhesion per 1 inch width equals 2.81 psi which is less than 10.76 psi.
From website below 45 ounces of adhesion for 2 inch width equals 5.62 pounds per lateral inch of tape which is less than 10.76 psi.
From website below 45 ounces of adhesion for 3 inch width equals 9.06 pounds per lateral inch of tape which is less than 10.76 psi.
If 45 ounces of adhesion per 1 inch width is the ultimate load capacity, there is no safety factor.

I have never been successful attaching duct tape to a wet surface.

http://www.duct-tape.com/