The generator matrix

 1  0  0  0  1  1  1  0  1
 0  1  0  0  2  1  3  1  0
 0  0  1  0  3  1  6  1  0
 0  0  0  1  1  6  3  1  0
 0  0  0  0  4  0  0  4  0
 0  0  0  0  0  4  0  4  0
 0  0  0  0  0  0  4  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+109x^4+568x^5+1455x^6+3104x^7+7651x^8+6992x^9+7651x^10+3104x^11+1455x^12+568x^13+109x^14+1x^18

The gray image is a code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.16 in 0.384 seconds.