The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2 1 1 1 1 1
0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2 X^2+X+1 1 X^2+X X X^2+1 1 0
0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0
0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 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+13x^20+76x^21+17x^22+40x^23+17x^24+76x^25+13x^26+1x^28+1x^30+1x^34
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 0.00374 seconds.