The generator matrix
1 1 1 1 1 1 1 1 X 0 X 0 1 X X 1 X X X^2 X^2 1 1 X
0 X 0 X^2+X X^2 X^2+X X^2 X X^2+X X X^2+X X 0 0 X^2 X^2 X X X X 0 X^2 0
0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0
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+12x^22+32x^23+14x^24+4x^26+1x^32
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 0.00341 seconds.