The generator matrix

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

generates a code of length 25 over Z2[X]/(X^4) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+288x^21+953x^22+2026x^23+3165x^24+3632x^25+3141x^26+1928x^27+886x^28+284x^29+39x^30+30x^31+4x^32+4x^33+3x^34

The gray image is a linear code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.16 in 1.22 seconds.