The generator matrix

 1  0  1  1  1  2  1  1  1
 0  1  1  0  0  0  0  0  0
 0  0  2  0  0  2  0  0  0
 0  0  0  2  0  2  0  0  0
 0  0  0  0  2  2  0  0  0
 0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0
 0  0  0  0  0  0  0  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+55x^2+48x^3+438x^4+336x^5+1162x^6+2832x^7+6536x^8+9952x^9+6536x^10+2832x^11+1162x^12+336x^13+438x^14+48x^15+55x^16+1x^18

The gray image is a code over GF(2) with n=36, k=15 and d=4.
This code was found by Heurico 1.16 in 0.241 seconds.