The generator matrix
1 1 1 1 1 1 2 1
0 4 0 0 0 0 4 0
0 0 4 0 0 0 4 0
0 0 0 4 0 0 4 0
0 0 0 0 4 0 4 0
0 0 0 0 0 4 4 0
generates a code of length 8 over Z8 who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+15x^4+6x^6+32x^7+143x^8+32x^9+20x^10+1x^12+6x^14
The gray image is a code over GF(2) with n=32, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000297 seconds.