The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0  1  0  0  0  0  0
 0  0  1  1  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  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+45x^2+48x^3+288x^4+288x^5+840x^6+1872x^7+5994x^8+14016x^9+5994x^10+1872x^11+840x^12+288x^13+288x^14+48x^15+45x^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 0.204 seconds.