The generator matrix

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

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+140x^19+361x^20+1082x^21+966x^22+2232x^23+1665x^24+3258x^25+1912x^26+2428x^27+929x^28+926x^29+254x^30+160x^31+46x^32+14x^33+4x^34+6x^36

The gray image is a linear code over GF(2) with n=100, k=14 and d=38.
This code was found by Heurico 1.13 in 1.06 seconds.