The generator matrix

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

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+26x^22+40x^23+38x^24+98x^25+145x^26+80x^27+20x^28+28x^29+7x^30+8x^31+13x^32+2x^33+5x^34+1x^46

The gray image is a linear code over GF(2) with n=104, k=9 and d=44.
This code was found by Heurico 1.16 in 0.0106 seconds.