The generator matrix

 1  0  0  0  1  1  1 X^2  1  X  1  0  1  1  0 X^2+X  1  1  1  1  1  1 X^2  1 X^2+X  1
 0  1  0  0  0  1 X^2+1  1 X+1  1  X  0 X+1 X^2  1 X^2+X X+1 X^2 X^2+1  0 X^2+X+1  1  1  1 X^2+X  X
 0  0  1  0  1  1 X^2 X^2+1 X^2+X X^2+X+1  0  1 X+1 X+1  0  1 X^2+X+1 X^2+1  X X+1 X^2+X+1 X^2+X+1 X^2 X^2+1  1  0
 0  0  0  1  1 X^2  1 X^2+X+1 X^2+X X^2+X  1 X^2+X+1 X+1  X  1 X^2 X+1  X  0 X^2+1 X^2+X  X  X X^2+X+1  X X^2+1
 0  0  0  0  X  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2+X X^2+X X^2+X X^2+X  X X^2+X  X X^2+X X^2  X  0 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+182x^20+388x^21+900x^22+1328x^23+1983x^24+2004x^25+2588x^26+2336x^27+2027x^28+1292x^29+804x^30+304x^31+180x^32+28x^33+28x^34+11x^36

The gray image is a linear code over GF(2) with n=104, k=14 and d=40.
This code was found by Heurico 1.13 in 1.14 seconds.