The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+94x^19+360x^20+772x^21+1622x^22+2652x^23+3701x^24+4576x^25+4914x^26+4868x^27+3949x^28+2596x^29+1485x^30+700x^31+302x^32+120x^33+41x^34+6x^35+7x^36+1x^38+1x^42

The gray image is a linear code over GF(2) with n=104, k=15 and d=38.
This code was found by Heurico 1.16 in 10.4 seconds.