  We report superconductivity at 1.4K in the ternary SrPt$_{10}$P$_4$ with a
complex new structure. SrPt$_{10}$P$_4$ crystallizes in a monoclinic
space-group C2/c (\#15) with lattice parameters a= 22.9151(9)$\AA$, b=
13.1664(5)$\AA$, c=13.4131(5)$\AA$, and $\beta$= 90.0270(5)${^\circ}$. Bulk
superconductivity in the samples has been demonstrated through resistivity, ac
susceptibility, and heat capacity measurements. High pressure measurements have
shown that the superconducting T$_C$ is systematically suppressed upon
application of pressure, with a dT$_C$/dP coefficient of -0.016 K/GPa.
