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  X  0  0  0  0  0
 0  0  0  0  X  0  0  0  0
 0  0  0  0  0  X  0  0  0
 0  0  0  0  0  0  X  0  0
 0  0  0  0  0  0  0  X  0
 0  0  0  0  0  0  0  0  X

generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+21x^2+120x^4+336x^6+384x^7+546x^8+1280x^9+546x^10+384x^11+336x^12+120x^14+21x^16+1x^18

The gray image is a linear code over GF(2) with n=18, k=12 and d=2.
This code was found by Heurico 1.16 in 0.014 seconds.