  We report the discovery of ten transiting extrasolar planets by the HATSouth
survey. The planets range in mass from the Super-Neptune HATS-62b, with $M_{p}
< 0.179 M_{J}$, to the Super-Jupiter HATS-66b, with $M_{p} = 5.33 M_{J}$, and
in size from the Saturn HATS-69b, with $R_{p} = 0.94 R_{J}$, to the inflated
Jupiter HATS-67b, with $R_{p} = 1.69 R_{J}$. The planets have orbital periods
between 1.6092 days (HATS-67b) and 7.8180 days (HATS-61b). The hosts are dwarf
stars with masses ranging from $0.89 M_{\odot}$ (HATS-69) to $1.56 M_{\odot}$
(HATS-64), and have apparent magnitudes between $V = 12.276 \pm 0.020$ mag
(HATS-68) and $V = 14.095 \pm 0.030$ mag (HATS-66). The Super-Neptune HATS-62b
is the least massive planet discovered to date with a radius larger than
Jupiter. Based largely on the Gaia DR2 distances and broad-band photometry, we
identify three systems (HATS-62, -64, and -65) as having possible unresolved
binary star companions. We discuss in detail our methods for incorporating the
Gaia DR2 observations into our modeling of the system parameters, and into our
blend analysis procedures.
