  In the present work, we construct the diquark-antidiquark type currents to
study the mass spectrum of the ground state hidden-charm-hidden-strange
tetraquark states with the $J^{PC}=0^{++}$, $1^{+-}$, $1^{++}$ and $2^{++}$ via
the QCD sum rules in a comprehensive way. We update old calculations and
perform new calculations rigorously, and take account of the light flavor
$SU(3)$ breaking effects in a consistent way. And we make possible assignments
for the $X(3960)$, $X(4140)$, $X(4274)$, $X(4500)$, $X(4685)$ and $X(4700)$.
Furthermore, we consider our previous works, and make possible assignments of
the new LHCb states $h_c(4000)$ and $\chi_{c1}(4010)$.
