The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+141x^22+180x^23+342x^24+232x^25+366x^26+176x^27+287x^28+152x^29+97x^30+28x^31+35x^32+4x^34+7x^36

The gray image is a linear code over GF(2) with n=104, k=11 and d=44.
This code was found by Heurico 1.16 in 0.0574 seconds.