  Finding Hemisystems is a challenging problem and just few examples arising
from the Hermitian surface are known. A recent method to obtain Hemisystems is
based on using maximal curves. Along this side of research, we provide new
examples of Hemisystems in $PG(3,p^2)$, for each prime of the form $p=1+4a^2$,
with $ a $ integer. Last, we use these results to obtain two weight linear
codes and strongly regular graphs.
