The generator matrix

 1  0  0  1  1  1  X  1  1 X^2 X^2  X  X  1  1  1 X^2  1  1 X^2 X^2+X X^2 X^2+X  1  0  1
 0  1  0  0  1  1  1 X^2  0  X  1  1  X X^2+1  1  X  1 X^2+X+1  X  1  0  0  X X^2+X+1  1 X+1
 0  0  1 X+1 X^2+X+1  0  1  X X^2+1  1  X X^2+X+1  1 X^2+1  X  X  1 X^2+1 X^2+X  X  1  1  1  X X^2  X
 0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 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+92x^21+260x^22+346x^23+485x^24+600x^25+598x^26+590x^27+463x^28+316x^29+184x^30+86x^31+42x^32+16x^33+14x^34+2x^35+1x^36

The gray image is a linear code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.16 in 5.47 seconds.