  We present the current status of our efforts in search of $H$ dibaryon on
$N_f$=2+1 CLS ensembles away from the $SU(3)$ flavor symmetric point. Utilizing
the distillation framework (also known as LapH) in its exact and stochastic
forms, we calculate two-point correlation matrices using large bases of
bi-local two-baryon interpolators to reliably determine the low-energy spectra.
We report the low lying spectrum on several moving frames for multiple
ensembles with different lattice spacing and physical volumes. The status of
finite-volume analysis to extract the scattering amplitudes is also discussed.
