The generator matrix

 1  0  1  1  1  0  2  2  1
 0  1  1  0  3  1  0  4  0
 0  0  2  0  2  0  2  2  0
 0  0  0  2  2  6  2  0  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+93x^4+72x^5+543x^6+864x^7+1411x^8+2224x^9+1411x^10+864x^11+543x^12+72x^13+93x^14+1x^18

The gray image is a code over GF(2) with n=36, k=13 and d=8.
This code was found by Heurico 1.16 in 0.043 seconds.