The generator matrix

 1  0  1  1  1  0  1  1 X^2  1  1 X^2  0  X  0 X^2  X X^2
 0  1  1  0 X+1  1 X^2+X+1  0  1  X X+1  1  1 X^2  X  X  1  1
 0  0  X  0  0  0  0  X  X  X  X X^2  0  X  X X^2 X^2+X  X
 0  0  0  X  0 X^2+X X^2+X  X X^2  0 X^2+X  X  0  0 X^2+X X^2+X X^2  0
 0  0  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0  0 X^2
 0  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 X^2  0  0 X^2 X^2 X^2 X^2 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+69x^12+128x^13+318x^14+584x^15+953x^16+1320x^17+1420x^18+1360x^19+954x^20+592x^21+304x^22+104x^23+70x^24+8x^25+4x^26+1x^28+2x^30

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 0.515 seconds.