The generator matrix

 1  0  0  1  1  1  2  1
 0  1  0  1  6  3  1  0
 0  0  1  1  3  6  1  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+55x^4+176x^5+502x^6+592x^7+1439x^8+592x^9+516x^10+176x^11+41x^12+6x^14

The gray image is a code over GF(2) with n=32, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00897 seconds.