The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^3+X  1  1 X^3+X^2  1  1  1  1 X^3  1  1  1  1  0 X^2 X^3+X^2+X  X
 0  1 X+1 X^2+X X^2+1  1 X^3+X^2 X^3+X^2+X+1  1 X^3+X X^3+1  1  0 X^2+X X+1 X^2+1  1 X^3+X^2 X^3+X X^3+X^2+X+1 X^3+1 X^3  1  1  1
 0  0 X^3 X^3  0 X^3 X^3  0  0  0 X^3 X^3 X^3  0  0 X^3 X^3  0 X^3 X^3  0 X^3  0  0 X^3

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+348x^24+64x^26+96x^28+3x^32

The gray image is a linear code over GF(2) with n=200, k=9 and d=96.
As d=96 is an upper bound for linear (200,9,2)-codes, this code is optimal over Z2[X]/(X^4) for dimension 9.
This code was found by Heurico 1.16 in 0.844 seconds.