The generator matrix

 1  0  0  1  1  1  2  1  1
 0  1  0  1  2  3  1  0  1
 0  0  1  1  3  2  3  2  5
 0  0  0  4  0  0  4  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+41x^6+132x^7+149x^8+388x^9+150x^10+108x^11+42x^12+12x^13+1x^14

The gray image is a code over GF(2) with n=36, k=10 and d=12.
This code was found by Heurico 1.11 in 0.00109 seconds.