  We conduct a search for galaxy-scale strong gravitational lens systems in
Data Release 4 of the Hyper Suprime-Cam Subaru Strategic Program (HSC SSP),
consisting of data taken up to the S21A semester. We select 103191 luminous red
galaxies from the Baryon Oscillation Spectroscopic Survey (BOSS) sample that
have deep multiband imaging from the HSC SSP and use the YattaLens algorithm to
automatically identify lens candidates with blue arc-like features. The
candidates are visually inspected and graded based on their likelihood of being
a lens. We find 8 definite lenses, 28 probable lenses, and 138 possible lenses.
The new lens candidates generally have lens redshifts in the range $0.3
\lesssim z_{\mathrm{L}} \lesssim 0.9$, a key intermediate redshift range to
study the evolution of galaxy structure. Follow-up spectroscopy will confirm
these new lenses and measure source redshifts to enable detailed lens modeling.
