The generator matrix

 1  0  0  1  1  1 10 10  1
 0  1  0  1  6 15  1  1  0
 0  0  1  1 11  2  1  1  0
 0  0  0 12  0  8  4  4  0
 0  0  0  0 12 12  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+74x^4+116x^5+1146x^6+4976x^7+11062x^8+30776x^9+11076x^10+4976x^11+1146x^12+116x^13+66x^14+5x^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 0.469 seconds.