The generator matrix

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

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+80x^21+493x^22+1180x^23+1258x^24+2284x^25+1247x^26+1056x^27+396x^28+128x^29+51x^30+4x^31+9x^32+4x^33+1x^34

The gray image is a linear code over GF(2) with n=200, k=13 and d=84.
This code was found by Heurico 1.16 in 0.407 seconds.