The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+66x^20+190x^21+469x^22+694x^23+866x^24+1198x^25+1252x^26+1174x^27+974x^28+618x^29+378x^30+178x^31+77x^32+42x^33+12x^34+2x^35+1x^38

The gray image is a linear code over GF(2) with n=104, k=13 and d=40.
This code was found by Heurico 1.16 in 0.947 seconds.