  The exploration of linear subspaces, particularly scattered subspaces, has
garnered considerable attention across diverse mathematical disciplines in
recent years, notably within finite geometries and coding theory. Scattered
subspaces play a pivotal role in analyzing various geometric structures such as
blocking sets, two-intersection sets, complete arcs, caps in affine and
projective spaces over finite fields and rank metric codes. This paper
introduces a new infinite family of $h$-subspaces, along with their associated
MRD codes. Additionally, it addresses the task of determining the generalized
weights of these codes. Notably, we demonstrate that these MRD codes exhibit
some larger generalized weights compared to those previously identified.
