The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1  1 X^2+X  1  1  1  1  1  X  1  0 X^2+X  1
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+1 X^2+X  1 X^2+1 X+1 X^2+X+1  0 X^2+X X^2+X X+1  1  1 X^2+X+1
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2
 0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 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+114x^20+136x^22+177x^24+56x^26+25x^28+2x^32+1x^36

The gray image is a linear code over GF(2) with n=92, k=9 and d=40.
This code was found by Heurico 1.16 in 0.0566 seconds.