The generator matrix

 1  1  1  1  1  1  1
 0  4  0  0  0  4  4
 0  0  4  0  4  4  4
 0  0  0  4  4  0  4

generates a code of length 7 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+7x^6+48x^7+7x^8+1x^14

The gray image is a code over GF(2) with n=28, k=6 and d=12.
This code was found by Heurico 1.16 in 0.000176 seconds.