  We report six new inflated hot Jupiters (HATS-25b through HATS-30b)
discovered using the HATSouth global network of automated telescopes. The
planets orbit stars with $V$ magnitudes in the range $\sim 12-14$ and have
masses in the largely populated $0.5M_J-0.7M_J$ region of parameter space but
span a wide variety of radii, from $1.17R_J$ to $1.75 R_J$. HATS-25b, HATS-28b,
HATS-29b and HATS-30b are typical inflated hot Jupiters ($R_p = 1.17-1.26R_J$)
orbiting G-type stars in short period ($P=3.2-4.6$ days) orbits. However,
HATS-26b ($R_p = 1.75R_J$, $P = 3.3024$ days) and HATS-27b ($R_p=1.50R_J$,
$P=4.6370$ days) stand out as highly inflated planets orbiting slightly evolved
F stars just after and in the turn-off points, respectively, which are among
the least dense hot Jupiters, with densities of $0.153$ g cm$^{-3}$ and $0.180$
g cm$^{-3}$, respectively. All the presented exoplanets but HATS-27b are good
targets for future atmospheric characterization studies, while HATS-27b is a
prime target for Rossiter-McLaughlin monitoring in order to determine its
spin-orbit alignment given the brightness ($V = 12.8$) and stellar rotational
velocity ($v \sin i \approx 9.3$ km/s) of the host star. These discoveries
significantly increase the number of inflated hot Jupiters known, contributing
to our understanding of the mechanism(s) responsible for hot Jupiter inflation.
