The generator matrix

 1  0  1  1  1  0
 0  1  3  6  1  1
 0  0  4  0  0  4
 0  0  0  4  0  4
 0  0  0  0  4  4

generates a code of length 6 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+55x^4+128x^5+144x^6+128x^7+55x^8+1x^12

The gray image is a code over GF(2) with n=24, k=9 and d=8.
This code was found by Heurico 1.16 in 0.000348 seconds.