The generator matrix

 1  0  0  1  1  1  2  2  1
 0  1  0  1  6  3  1  0  0
 0  0  1  1  3  6  1  0  0
 0  0  0  4  0  0  0  4  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+61x^4+160x^5+287x^6+1088x^7+1187x^8+2624x^9+1187x^10+1088x^11+287x^12+160x^13+61x^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 0.0257 seconds.