The generator matrix

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

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+106x^22+284x^23+453x^24+448x^25+408x^26+184x^27+112x^28+32x^29+6x^30+12x^31+2x^36

The gray image is a linear code over GF(2) with n=200, k=11 and d=88.
This code was found by Heurico 1.16 in 0.156 seconds.