The generator matrix
1 0 1 1 1 X^2 1 1 0 1 1 0 X 1 1 1 1 1 1 X^2+X X^2+X 1 X 0 1
0 1 1 0 X+1 1 1 0 1 X^2 X+1 1 1 X^2+1 X^2+X X X+1 X^2+X 1 1 1 0 1 X 1
0 0 X 0 0 X^2 0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2 0 X^2 0 X X^2+X X X^2+X 0 X X X^2
0 0 0 X X^2 X X^2+X X^2+X X^2+X X^2 X X^2 X^2+X X^2 0 X X^2+X X X 0 X^2 X^2 X^2+X 0 X^2
generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 22.
Homogenous weight enumerator: w(x)=1x^0+240x^22+294x^24+290x^26+148x^28+36x^30+5x^32+10x^34
The gray image is a linear code over GF(2) with n=100, k=10 and d=44.
This code was found by Heurico 1.16 in 0.358 seconds.