Total internal pressure:
$P = p (\frac{1}{4} \pi D^2)$
Resisting wall:
$F = P$
$\sigma A = p (\frac{1}{4} \pi D^2)$
$\sigma (\pi Dt) = p (\frac{1}{4} \pi D^2)$
$\sigma = \dfrac{pD}{4t}$
$8000 = \dfrac{p(4 \times 12)}{4(\frac{5}{16})}$
$p = 208.33 \, \text{psi}$ answer