The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1 X^2+X X^2 X^2  1  1  1  1 X^2+X  1  X  1  1
 0  1  0  0  0 X^2  1 X^2+1  1 X+1 X^2+X  1 X^2+1  X  1  1 X^2  X  0  1  0  X X^2+X+1  1 X^2+X X^2+X
 0  0  1  0  0  1 X^2+1  X X+1  1  1 X^2 X^2+X  1 X+1  X X^2+X  X X^2+X+1 X^2 X^2+1  1  X X^2+X X^2+1 X^2
 0  0  0  1 X+1 X+1 X^2  1  1  1 X^2+1 X^2+1 X^2+X X^2  X X^2+X+1  1 X^2+X+1 X^2+X  0 X^2+1  X  X  1  X  X
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 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+272x^21+414x^22+920x^23+609x^24+1384x^25+1030x^26+1384x^27+632x^28+880x^29+346x^30+248x^31+37x^32+24x^33+2x^34+8x^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 1.16 in 21.6 seconds.