The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  X  1  1  X  X  X  X  1  X  1  1  0
 0  X  0 X^2+X  0 X^2+X  0  X X^2 X^2+X X^2+X X^2 X^2  X X^2+X  0 X^2+X  0 X^2+X  X  X X^2 X^2
 0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0
 0  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  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+61x^22+13x^24+12x^25+18x^26+2x^28+2x^29+1x^30

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 0.247 seconds.