  We consider the stochastic higher spin six vertex (SHS6V) model introduced in
[Corwin-Petrov, 2016] with general integer spin parameters $I, J$. Starting
from near stationary initial condition, we prove that the SHS6V model converges
to the KPZ equation under weakly asymmetric scaling. This generalizes the
result of [Corwin-Ghosal-Shen-Tsai, 2018] from $I = J =1$ to general $I, J$.
