  We present 44 validated planets from the 10$^\mathrm{th}$ observing campaign
of the NASA $K2$ mission, as well as high resolution spectroscopy and speckle
imaging follow-up observations. These 44 planets come from an initial set of 72
vetted candidates, which we subjected to a validation process incorporating
pixel-level analyses, light curve analyses, observational constraints, and
statistical false positive probabilities. Our validated planet sample has
median values of $R_p$ = 2.2 $R_\oplus$, $P_\mathrm{orb}$ = 6.9 days,
$T_{\mathrm{eq}}$ = 890 K, and $J$ = 11.2 mag. Of particular interest are four
ultra-short period planets ($P_\mathrm{orb} \lesssim 1$ day), 16 planets
smaller than 2 $R_\oplus$, and two planets with large predicted amplitude
atmospheric transmission features orbiting infrared-bright stars. We also
present 27 planet candidates, most of which are likely to be real and worthy of
further observations. Our validated planet sample includes 24 new discoveries,
and has enhanced the number of currently known super-Earths ($R_p \approx 1-2
R_\oplus$), sub-Neptunes ($R_p \approx 2-4 R_\oplus$), and sub-Saturns ($R_p
\approx 4-8 R_\oplus$) orbiting bright stars ($J = 8-10$ mag) by $\sim$4%,
$\sim$17%, and $\sim$11%, respectively.
