The generator matrix

 1  0  1  1  1  1
 0  1  3  6  0  4
 0  0  4  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+6x^4+40x^5+34x^6+40x^7+5x^8+2x^10

The gray image is a code over GF(2) with n=24, k=7 and d=8.
This code was found by Heurico 1.16 in 0.000139 seconds.