The generator matrix

 1  0  0  1  1  1  2  0
 0  1  0  1  2  3  1  0
 0  0  1  1  1  0  1  1
 0  0  0  2  0  6  0  4
 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+51x^4+320x^5+678x^6+1728x^7+2631x^8+1728x^9+692x^10+320x^11+37x^12+6x^14

The gray image is a code over GF(2) with n=32, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0331 seconds.