The generator matrix

 1  0  0  1  1  1  1  6  1
 0  1  0  1  6  7 13  1  8
 0  0  1  1  3  2  3  3  0
 0  0  0 12  0  8 12  0  4
 0  0  0  0  8  8  8  8  8

generates a code of length 9 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+30x^5+328x^6+2154x^7+6318x^8+15084x^9+6352x^10+2164x^11+304x^12+22x^13+8x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=72, k=15 and d=20.
This code was found by Heurico 1.16 in 0.288 seconds.