The generator matrix

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

generates a code of length 23 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+18x^21+40x^22+30x^23+7x^24+14x^25+15x^26+2x^27+1x^34

The gray image is a linear code over GF(2) with n=92, k=7 and d=42.
This code was found by Heurico 1.16 in 0.00295 seconds.