  We study superconducting quantum interference in InSb flake Josephson
junctions. An even-odd effect in the amplitude and periodicity of the
superconducting quantum interference pattern is found. Interestingly, the
occurrence of this pattern coincides with enhanced conduction at both edges of
the flake, as is deduced from measuring a SQUID pattern at reduced gate
voltages. We identify the specific crystal facet of the edge with enhanced
conduction, and confirm this by measuring multiple devices. Furthermore, we
argue the even-odd effect is due to crossed Andreev reflection, a process where
a Cooper pair splits up over the two edges and recombines at the opposite
contact. An entirely $h/e$ periodic SQUID pattern, as well as the observation
of both even-odd and odd-even effects, corroborates this conclusion. Crossed
Andreev reflection could be harnessed for creating a topological state of
matter or performing experiments on the non-local spin-entanglement of
spatially separated Cooper pairs.
