The generator matrix

 1  0  0  1  1  1  X  0  1  1  1  X  0  1  1  1  1  1  X  1  0  X  1  X  1
 0  1  0  1  0  1  1  1  0 X+1  X  1  X X+1  1  1 X+1  X  1  1  1  1 X+1  0  1
 0  0  1  1  1  0  1  X  0  0 X+1  X  1  X X+1  1  1  0  1  0  X  1  0  1  1
 0  0  0  X  0  0  0  X  X  0  0  0  X  X  X  X  0  X  X  0  0  X  X  X  0
 0  0  0  0  X  0  0  X  X  X  0  X  0  X  X  0  0  X  X  X  X  0  0  X  0
 0  0  0  0  0  X  0  0  0  X  0  0  0  X  0  X  X  X  X  0  X  X  0  X  X

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+32x^20+50x^21+53x^22+64x^23+46x^24+50x^25+47x^26+48x^27+44x^28+22x^29+19x^30+16x^31+5x^32+6x^33+9x^34

The gray image is a linear code over GF(2) with n=50, k=9 and d=20.
This code was found by Heurico 1.16 in 0.016 seconds.