The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^4+48x^5+108x^6+48x^7+21x^8+4x^10

The gray image is a code over GF(2) with n=24, k=8 and d=8.
This code was found by Heurico 1.16 in 0.000176 seconds.