The generator matrix

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

generates a code of length 18 over Z2[X]/(X^3) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+38x^11+178x^12+456x^13+1077x^14+2228x^15+3787x^16+5484x^17+6248x^18+5436x^19+3870x^20+2272x^21+1090x^22+420x^23+100x^24+44x^25+32x^26+6x^27+1x^30

The gray image is a linear code over GF(2) with n=72, k=15 and d=22.
This code was found by Heurico 1.16 in 5.18 seconds.