The generator matrix

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

generates a code of length 23 over Z2[X]/(X^3) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+34x^17+64x^18+188x^19+283x^20+482x^21+685x^22+652x^23+683x^24+470x^25+265x^26+180x^27+49x^28+38x^29+7x^30+4x^31+8x^32+3x^34

The gray image is a linear code over GF(2) with n=92, k=12 and d=34.
This code was found by Heurico 1.16 in 7 seconds.