The generator matrix

 1  1  1  1  2  0  1
 0  2  4  6  6  2  0

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

Homogenous weight enumerator: w(x)=1x^0+10x^6+8x^7+11x^8+2x^10

The gray image is a code over GF(2) with n=28, k=5 and d=12.
This code was found by Heurico 1.16 in 9.68e-005 seconds.