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.