The generator matrix
1 1 1 1 2 2 2 2
0 4 0 4 0 4 4 0
0 0 4 4 4 4 0 0
generates a code of length 8 over Z8 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+29x^8+2x^12
The gray image is a code over GF(2) with n=32, k=5 and d=16.
This code was found by Heurico 1.16 in 0.000182 seconds.