The generator matrix
1 1 1 1 1 2 1 2 1
0 2 0 0 0 4 2 12 0
0 0 2 0 0 2 2 2 0
0 0 0 2 0 2 4 0 8
0 0 0 0 2 2 12 4 8
generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+82x^4+256x^5+1117x^6+3986x^7+12857x^8+28904x^9+12922x^10+3964x^11+1104x^12+264x^13+73x^14+2x^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 0.917 seconds.