The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1  0  1  1  1  1  X  1
 0  1 X+1 X^2+X  1  1  0 X+1  1  0 X+1  1 X^2+X X^2+X  0 X^2+X  0  0
 0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0
 0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0
 0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0
 0  0  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  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+44x^12+50x^14+176x^15+109x^16+608x^17+103x^18+576x^19+92x^20+160x^21+94x^22+16x^23+10x^24+8x^26+1x^34

The gray image is a linear code over GF(2) with n=72, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0273 seconds.