The generator matrix
1 1 1 1 1 1 1 1 1
0 8 0 0 0 8 0 0 8
0 0 8 0 0 8 0 8 8
0 0 0 8 0 8 8 8 0
0 0 0 0 8 8 8 0 0
generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+6x^6+9x^8+224x^9+9x^10+6x^12+1x^18
The gray image is a code over GF(2) with n=72, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00047 seconds.