Non-zero Product Game

$\begin{bmatrix} 0 & a \\ b & c \end{bmatrix} \begin{bmatrix} d & 0 \\ e & f \end{bmatrix} = \begin{bmatrix} g & h \\ 0 & i \end{bmatrix} \begin{bmatrix} -70 & 0 \\ 31 & 12 \end{bmatrix}$

The elements $a$ to $i$ in the matrix equation above denote distinct digits from $1$ to $9$ such that every matrix has at least one prime element with one matrix having a pair of twin primes.

If $S = \begin{bmatrix}{a} && {b} && {c} \\ {d} && {e} && {f} \\ {g} && {h} && {i}\end{bmatrix}$ , compute $|\det(S)|$ .