The generator matrix

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

generates a code of length 25 over Z2[X]/(X^3) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+62x^17+527x^18+1332x^19+2891x^20+5746x^21+9909x^22+14870x^23+19216x^24+21402x^25+19814x^26+15090x^27+9868x^28+5742x^29+2779x^30+1146x^31+499x^32+136x^33+26x^34+10x^35+5x^36+1x^42

The gray image is a linear code over GF(2) with n=100, k=17 and d=34.
This code was found by Heurico 1.13 in 49.4 seconds.