The generator matrix

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

generates a code of length 23 over Z2[X]/(X^3) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+118x^19+219x^20+280x^21+198x^22+374x^23+331x^24+268x^25+108x^26+96x^27+25x^28+12x^29+14x^30+2x^31+2x^35

The gray image is a linear code over GF(2) with n=92, k=11 and d=38.
This code was found by Heurico 1.16 in 0.0473 seconds.