The generator matrix

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

generates a code of length 25 over Z2[X]/(X^4) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+220x^23+105x^24+444x^25+72x^26+116x^27+12x^28+52x^29+2x^36

The gray image is a linear code over GF(2) with n=200, k=10 and d=92.
This code was found by Heurico 1.16 in 0.282 seconds.