  In this paper a 2-arc of size 21 in the projective Hjelmslev plane
PHG(2,\Z_25) and a 2-arc of size 22 in PHG(2,\F_5[X]/(X^2)) are given. Both
arcs are bigger than the 2-arcs previously known in the respective plane.
Furthermore, we will give some information on the geometrical structure of the
arcs.
