The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+62x^19+263x^20+406x^21+590x^22+966x^23+1183x^24+1280x^25+1203x^26+902x^27+634x^28+398x^29+188x^30+66x^31+30x^32+12x^33+3x^34+4x^35+1x^36

The gray image is a linear code over GF(2) with n=100, k=13 and d=38.
This code was found by Heurico 1.16 in 0.905 seconds.