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.