  We investigate the construction of four-family ${\cal N}=1$ supersymmetric
Pati-Salam models from Type IIA $\mathbb{T}^6/(\mathbb{Z}_2 \times
\mathbb{Z}_2)$ orientifold with intersecting D6-branes. Utilizing the
deterministic algorithm introduced in Ref.
\cite{heCompleteSearchSupersymmetric2021}, we obtain $274$ types of models with
three rectangular tori and distinct gauge coupling relations at string scale,
while $6$ types of models with two rectangular tori and one titled torus. In
both cases, there exists a class of models with gauge coupling unification at
string scale. In particular, for the models with two rectangular tori, one
tilted torus and gauge coupling unification, the gaugino condensations are
allowed, and thus supersymmetry breaking and moduli stabilization are possible
for further phenomenological study.
