The generator matrix

 1  0  0  1  1  1 X^2  1  1  1 X^2  1 X^2+X  0  1  1  1  1
 0  1  0  1  X X^2+X+1  1  0 X^2 X^2+1  1  1  X  1  X  X X^2+X  0
 0  0  1  1  1  0 X+1  X X+1  0  X  1  1 X+1 X+1 X+1 X+1  0
 0  0  0  X  0 X^2+X  X X^2+X X^2+X  0 X^2 X^2 X^2+X  0  X X^2+X X^2+X  0
 0  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2
 0  0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2

generates a code of length 18 over Z2[X]/(X^3) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+17x^12+160x^13+170x^14+640x^15+878x^16+1504x^17+1452x^18+1504x^19+878x^20+640x^21+170x^22+160x^23+17x^24+1x^36

The gray image is a linear code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 0.43 seconds.