The generator matrix

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

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+54x^12+16x^13+204x^14+208x^15+583x^16+544x^17+880x^18+544x^19+590x^20+208x^21+188x^22+16x^23+48x^24+8x^26+4x^28

The gray image is a linear code over GF(2) with n=72, k=12 and d=24.
This code was found by Heurico 1.16 in 0.102 seconds.