The generator matrix

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

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+88x^21+294x^22+348x^23+484x^24+452x^25+756x^26+512x^27+492x^28+288x^29+246x^30+92x^31+27x^32+4x^33+8x^35+4x^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 0.216 seconds.