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.