The generator matrix

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

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+151x^20+140x^21+188x^22+148x^23+180x^24+52x^25+68x^26+44x^27+43x^28+8x^30+1x^32

The gray image is a linear code over GF(2) with n=92, k=10 and d=40.
This code was found by Heurico 1.11 in 0.281 seconds.