The generator matrix

 1  0  0  1  1  1  X  1  1  1  1 X^2+X  0 X^2+X  1  X  1  X  X  1  1  1  1
 0  1  0  0 X^2+1 X^2+X+1  1 X^2 X^2 X^2+1 X+1  1  1  X X^2 X^2+X X^2  1  1 X^2+X X+1 X^2+1  1
 0  0  1  1  1  0  1 X^2+X X+1 X+1  X  X X^2+X+1  1 X^2+X+1  1  1  1 X^2+1 X^2+X  X X^2+X  1
 0  0  0  X X^2+X X^2+X X^2 X^2+X  X X^2  0 X^2+X  X  X  0 X^2+X X^2  X  0 X^2  X  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+94x^19+213x^20+350x^21+234x^22+312x^23+267x^24+284x^25+144x^26+86x^27+31x^28+22x^29+6x^30+4x^31

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 0.048 seconds.