The generator matrix

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

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+68x^18+242x^19+259x^20+652x^21+464x^22+800x^23+391x^24+634x^25+292x^26+202x^27+49x^28+24x^29+8x^30+4x^31+4x^32+2x^33

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 0.178 seconds.