The generator matrix

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

generates a code of length 25 over Z2[X]/(X^4) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+3x^22+82x^23+77x^24+190x^25+74x^26+78x^27+2x^28+2x^29+2x^30+1x^46

The gray image is a linear code over GF(2) with n=200, k=9 and d=88.
This code was found by Heurico 1.16 in -6.48e-008 seconds.