The generator matrix
1 1 1 1 2 1 1 1 1
0 8 0 0 8 0 8 8 0
0 0 8 0 8 8 8 8 8
0 0 0 8 8 8 0 8 0
generates a code of length 9 over Z16 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+18x^8+96x^9+8x^10+4x^12+1x^16
The gray image is a code over GF(2) with n=72, k=7 and d=32.
This code was found by Heurico 1.16 in 0.000393 seconds.