  We report the detection of 239 trans-Neptunian Objects discovered through the
on-going New Horizons survey for distant minor bodies being performed with the
Hyper Suprime-Cam mosaic imager on the Subaru Telescope. These objects were
discovered in images acquired with either the r2 or the recently commissioned
EB-gri filter using shift and stack routines. Due to the extremely high stellar
density of the search region down stream of the spacecraft, new machine
learning techniques had to be developed to manage the extremely high false
positive rate of bogus candidates produced from the shift and stack routines.
We report discoveries as faint as r2$\sim26.5$. We highlight an overabundance
of objects found at heliocentric distances $R\gtrsim70$~au compared to
expectations from modelling of the known outer Solar System. If confirmed,
these objects betray the presence of a heretofore unrecognized abundance of
distant objects that can help explain a number of other observations that
otherwise remain at odds with the known Kuiper Belt, including detections of
serendipitous stellar occultations, and recent results from the Student Dust
Counter on-board the New Horizons spacecraft.
