The generator matrix
1 1 1 1 1 1 1 1 1 X X X 1 1 1 X X^2 X^2 X^2 X X X X X^2 1
0 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0
0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0
generates a code of length 25 over Z2[X]/(X^4) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+3x^24+50x^25+4x^26+6x^29
The gray image is a linear code over GF(2) with n=200, k=6 and d=96.
This code was found by Heurico 1.16 in 0.016 seconds.