The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+40x^21+99x^22+212x^23+200x^24+394x^25+200x^26+394x^27+170x^28+196x^29+72x^30+32x^31+11x^32+10x^33+12x^34+2x^35+2x^36+1x^38

The gray image is a linear code over GF(2) with n=104, k=11 and d=42.
This code was found by Heurico 1.16 in 0.1 seconds.