The generator matrix
1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2 1 1 1 1 X^2+X X 1
0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2 X^2+X+1 1 X^2+X X X^2+1 1 1 1 0
0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0
0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0
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+12x^22+80x^23+18x^24+32x^25+18x^26+80x^27+12x^28+1x^32+2x^34
The gray image is a linear code over GF(2) with n=100, k=8 and d=44.
This code was found by Heurico 1.16 in 0.00474 seconds.