The generator matrix

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

generates a code of length 23 over Z2[X]/(X^3) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+6x^22+48x^23+7x^24+1x^30+1x^38

The gray image is a linear code over GF(2) with n=92, k=6 and d=44.
This code was found by Heurico 1.16 in 0.00168 seconds.