The generator matrix
1 1 1 1 1 1 1 1 X 0 X 0 X X 1 X X 1 1 X^2 X^2 X
0 X 0 X^2+X X^2 X^2+X X^2 X X^2+X X X^2+X X 0 X^2 0 X X X^2 0 X X X^2
0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0
generates a code of length 22 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.
Homogenous weight enumerator: w(x)=1x^0+12x^21+39x^22+7x^24+4x^25+1x^30
The gray image is a linear code over GF(2) with n=88, k=6 and d=42.
This code was found by Heurico 1.16 in 0.0029 seconds.