The generator matrix
1 0 1 1 1 12 2 1 1
0 1 1 12 11 1 2 6 0
0 0 2 6 4 6 2 0 8
0 0 0 8 0 0 8 8 0
generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+63x^6+296x^7+709x^8+1968x^9+698x^10+296x^11+58x^12+7x^14
The gray image is a code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0102 seconds.