The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  0 X^2+X  1  1  1  1  1  1  1  X
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X X^2+1  1  0  1  1 X+1 X^2+X  0  0 X^2+1  0 X^2 X^2+X
 0  0 X^2  0  0  0  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2
 0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0
 0  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  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+78x^18+32x^19+223x^20+128x^21+472x^22+192x^23+482x^24+128x^25+200x^26+32x^27+56x^28+16x^30+5x^32+2x^34+1x^36

The gray image is a linear code over GF(2) with n=92, k=11 and d=36.
This code was found by Heurico 1.16 in 0.513 seconds.