  We improve on the lower bound of the maximum number of planes of ${\rm
PG}(8,q)$ mutually intersecting in at most one point leading to the following
lower bound: ${\cal A}_q(9, 4; 3) \ge q^{12}+2q^8+2q^7+q^6+q^5+q^4+1$ for
constant dimension subspace codes. We also construct two new non-equivalent
$(6, (q^3-1)(q^2+q+1), 4; 3)_q$ constant dimension subspace orbit-codes.
