  We present initial results of a survey of host $L_{*}$ galaxies environments
in the Local Volume ($D<10\,$Mpc) searching for satellite dwarf galaxy
candidates using the wide-field Hyper Suprime-Cam imager on the 8m Subaru
Telescope. The current paper presents complete results on NGC2683
($M_{B_T,0}=-19.62$, $D=9.36\,Mpc$, $v_{\odot}=411\,km\,s^{-1}$), an isolated
Sc spiral galaxy in the Leo Spur. At the distance of NGC2683, we image the
complete volume out to projected radii of $380\,kpc$ using a hexagonal
arrangement of 7 pointings. Direct inspection of the images is complete down to
$M_{g}\sim-11$ and has revealed 4 new satellite galaxy candidates, 2 of which
have been independently discovered by other researchers. Assuming the distance
of NGC2683, these candidates span luminosities $-12 < M_g < -9$ and effective
radii 150\,pc $< r_e <$ 1100\,pc and are found to be morphologically
reminiscent of satellite galaxies in the Local Group. These 4 new candidates
add to the 8 already known. A Principle Component Analysis of the 2D projected
distribution of the 12 satellite galaxies of NGC2683 reveals a flattened
projected disk of satellites, with axis ratio $b/a=0.23$. This flattening in
the 2D projected system of satellites is a 1 percent outlier of simulated
isotropic satellite systems but is mostly consistent with satellite
distributions of comparable galaxy environments in the IllustrisTNG simulation.
This indicates the possible presence of a satellite plane, which will need to
be investigated with follow-up observations.
