The generator matrix

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

generates a code of length 23 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+190x^18+64x^19+544x^20+256x^21+802x^22+384x^23+864x^24+256x^25+450x^26+64x^27+184x^28+30x^30+7x^32

The gray image is a linear code over GF(2) with n=92, k=12 and d=36.
This code was found by Heurico 1.16 in 0.251 seconds.