  We present a uniform analysis of 155 candidates from the second year of
NASA's $K2$ mission (Campaigns 5-8), yielding 60 statistically validated
planets spanning a range of properties, with median values of $R_p$ = 2.5
$R_\oplus$, $P$ = 7.1 d, $T_\mathrm{eq}$ = 811 K, and $J$ = 11.3 mag. The
sample includes 24 planets in 11 multi-planetary systems, as well as 18 false
positives, and 77 remaining planet candidates. Of particular interest are 18
planets smaller than 2 $R_\oplus$, five orbiting stars brighter than $J$ = 10
mag, and a system of four small planets orbiting the solar-type star EPIC
212157262. We compute planetary transit parameters and false positive
probabilities using a robust statistical framework and present a complete
analysis incorporating the results of an intensive campaign of high resolution
imaging and spectroscopic observations. This work brings the $K2$ yield to over
360 planets, and by extrapolation we expect that $K2$ will have discovered
$\sim$600 planets before the expected depletion of its on-board fuel in late
2018.
