  In this paper we investigate two-point algebraic-geometry codes (AG codes)
coming from the Beelen-Montanucci (BM) maximal curve. We study properties of
certain two-point Weierstrass semigroups of the curve and use them for
determining a lower bound on the minimum distance of such codes. AG codes with
better parameters with respect to comparable two-point codes from the
Garcia-G\"uneri-Stichtenoth (GGS) curve are discovered.
