  Because there are a few typos in the supersymmetry breaking sfermion masses
and trilinear soft term, regarding the current Large Hadron Collider (LHC) and
dark matter searches, we revisit a three-family Pati-Salam model based on
intersecting D6-branes in Type IIA string theory on a $\mathbf{T^6/(\Z_2\times
\Z_2)}$ orientifold with a realistic phenomenology. We study the viable
parameter space and discuss the spectrum consistent with the current LHC
Supersymmetry searches along with the dark matter relic density bounds from the
Planck 2018 data. For the gluinos and first two generations of sfermions, we
observe that the gluino mass is in the range [2, 14] TeV, the squarks mass
range is [2, 13] TeV and the sleptons mass is in the range [1, 5] TeV. We
achieve the cold dark matter relic density consistent with 5$\sigma$ Planck
2018 bounds via A-funnel and coannihilation channels such as stop-neutralino,
stau-neutralino, and chargino-neutralino. Except for a few chargino-neutralino
coannihilation solutions, these solutions also satisfy current
nucleon-neutralino spin-independent and spin-dependent scattering
cross-sections and may be probed by future dark matter searches.
