The generator matrix

 1  0  0  0  1  1  1  6  1
 0  1  0  0  2  5  7  1  0
 0  0  1  0  3  1  2  3  0
 0  0  0  1  1  2  3  3  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+84x^5+182x^6+336x^7+1225x^8+440x^9+1225x^10+336x^11+182x^12+84x^13+1x^18

The gray image is a code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.16 in 0.0158 seconds.