The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  1  1  1  1  X  1
 0  X  0  X  0 X^2  X X^2+X  0  X X^2 X^2 X^2+X  0 X^2+X  X  X X^2 X^2 X^2 X^2  X  0
 0  0  X  X  0  X X^2+X X^2 X^2  X X^2+X X^2  0  X X^2+X X^2+X  0 X^2  0  X X^2+X  X X^2
 0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 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 20.

Homogenous weight enumerator: w(x)=1x^0+18x^20+26x^21+79x^22+16x^23+77x^24+20x^25+13x^26+2x^29+3x^30+1x^42

The gray image is a linear code over GF(2) with n=92, k=8 and d=40.
This code was found by Heurico 1.16 in 0.00505 seconds.