  We report on the design and characterization of a prototype monolithic
neutron scatter camera that is intended to significantly improve upon the
geometrical shortcomings of conventional neutron cameras. The detector consists
of a 50 mm $\times$ 56 mm $\times$ 60 mm monolithic block of EJ-204 plastic
scintillator instrumented on two faces with arrays of 64 Hamamatsu
S13360-6075PE silicon photomultipliers (SiPMs). The electronic crosstalk is
limited to < 5% between adjacent channels and < 0.1% between all other channel
pairs. SiPMs introduce a significantly elevated dark count rate over PMTs, as
well as correlated noise from after-pulsing and optical crosstalk. In this
article, we characterize the dark count rate and optical crosstalk and present
a modified event reconstruction likelihood function that accounts for them. We
find that the average dark count rate per SiPM is 4.3 MHz with a standard
deviation of 1.5 MHz among devices. The analysis method we employ to measure
internal optical crosstalk also naturally yields the mean and width of the
single-electron pulse height. We calculate separate contributions to the width
of the single-electron pulse-height from electronic noise and avalanche
fluctuations. We demonstrate a timing resolution for a single-photon pulse to
be 128 ($\pm$4) ps. Finally, coincidence analysis is employed to measure
external (pixel-to-pixel) optical crosstalk. We present a map of the average
external crosstalk probability between 2-by-4 groups of SiPMs, as well as the
in-situ timing characteristics extracted from the coincidence analysis. Further
work is needed to characterize the performance of the camera at reconstructing
single- and double-site interactions, as well as image reconstruction.
