The generator matrix

 1  0  0  0  0  1  1  1  1 X^2+X  X X^2  1  1  1  1  X  1
 0  1  0  0  0  0 X^2  1 X^2+1  1  X  1  X X+1  1 X^2+X X^2 X+1
 0  0  1  0  0  0  1 X^2 X^2+X+1 X^2+1  1  1  X X^2+1 X^2+X+1  1 X^2+X X^2+1
 0  0  0  1  0  1  1 X^2+X+1  X  1  1  1 X^2 X^2+X+1 X+1  0  1 X^2+X
 0  0  0  0  1  1  X  X X^2  0  1 X^2+1 X^2+X+1 X^2+1 X^2+X X^2 X^2+X+1 X+1
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0 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+274x^12+824x^13+2208x^14+4372x^15+7791x^16+11108x^17+12192x^18+11272x^19+7898x^20+4480x^21+2096x^22+676x^23+288x^24+36x^25+16x^26+4x^28

The gray image is a linear code over GF(2) with n=72, k=16 and d=24.
This code was found by Heurico 1.13 in 7.09 seconds.