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
 0  0  0  0  0  0  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+57x^2+48x^3+548x^4+512x^5+2100x^6+5712x^7+13678x^8+20224x^9+13678x^10+5712x^11+2100x^12+512x^13+548x^14+48x^15+57x^16+1x^18

The gray image is a code over GF(2) with n=36, k=16 and d=4.
This code was found by Heurico 1.16 in 0.946 seconds.