The generator matrix

 1  0  1  1  1  0  1  1  1  1 X^2  X  0  X X^2+X  X  1  1  1  1  1  1  1  1 X^2+X
 0  1  1  0  1  1  X X+1  X X+1  1  1  1  1  1  1 X^2 X^2 X^2+X  X  0 X^2+X X^2+X  0  1
 0  0  X X^2+X X^2 X^2+X  0  X X^2+X X^2  0  X  X  0 X^2 X^2+X  0 X^2+X  X 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 23.

Homogenous weight enumerator: w(x)=1x^0+60x^23+30x^24+80x^25+31x^26+48x^27+4x^31+1x^32+1x^42

The gray image is a linear code over GF(2) with n=100, k=8 and d=46.
This code was found by Heurico 1.11 in 1.05e-007 seconds.