The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1 X^2  1  1
 0 X^3+X^2  0  0 X^3 X^3+X^2 X^3+X^2 X^2  0 X^3  0 X^2 X^3+X^2 X^3 X^2 X^3 X^3 X^3 X^2  0 X^2  0 X^3+X^2 X^2 X^2
 0  0 X^3+X^2  0 X^3+X^2 X^3+X^2 X^2 X^3  0 X^2 X^2 X^3+X^2 X^3+X^2 X^3 X^3  0 X^2 X^2 X^2 X^3  0 X^3+X^2 X^3  0  0
 0  0  0 X^3+X^2 X^2 X^3 X^2 X^2 X^3 X^3 X^2 X^3 X^3+X^2 X^2  0 X^2  0 X^3+X^2 X^2 X^2 X^2 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+86x^22+24x^23+254x^24+336x^25+232x^26+24x^27+35x^28+18x^30+13x^32+1x^44

The gray image is a linear code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 3.52 seconds.