The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1  0  1  X  0  X  1  X  1  1  1 X^2  0
 0  1  0  0  0  1 X^2+1  X  1  1  1 X^2 X^2+X  1  1  0 X^2+X X^2+X  1 X^2+X X^2+X X^2+X+1 X^2+X  0  1  1
 0  0  1  0  0 X^2  1 X^2+1 X^2+X+1 X+1 X^2+X  1  1  X X^2+1 X^2+1  X  1  1 X^2  1 X^2+X X^2+X+1 X^2+X X^2+X+1  0
 0  0  0  1  1  0 X^2+1 X^2+X  1 X^2+X X+1  1 X^2+X+1 X^2+1  X  1  1  0 X^2 X^2+1  0 X^2 X^2+X+1  0 X^2+X  X
 0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2  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+304x^21+363x^22+878x^23+699x^24+1364x^25+1029x^26+1398x^27+596x^28+904x^29+325x^30+250x^31+47x^32+20x^33+11x^34+2x^35+1x^40

The gray image is a linear code over GF(2) with n=104, k=13 and d=42.
This code was found by Heurico 1.11 in 207 seconds.