The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+84x^18+608x^19+1425x^20+3044x^21+5882x^22+10302x^23+14321x^24+19638x^25+19921x^26+20090x^27+14641x^28+10362x^29+5798x^30+3010x^31+1230x^32+490x^33+150x^34+38x^35+30x^36+2x^37+4x^38+1x^42

The gray image is a linear code over GF(2) with n=104, k=17 and d=36.
This code was found by Heurico 1.13 in 53.3 seconds.