The generator matrix

 1  0  1  1  1  1  1  2  1
 0  1  1  0  0  3 11  8  0
 0  0  2  0  2  0  8  4  0
 0  0  0  2  2  4 12  0  0
 0  0  0  0  4 12  8  8  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+119x^4+294x^5+1646x^6+3638x^7+11971x^8+30316x^9+11684x^10+3836x^11+1633x^12+302x^13+78x^14+14x^15+4x^16

The gray image is a code over GF(2) with n=72, k=16 and d=16.
This code was found by Heurico 1.16 in 0.594 seconds.