The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  X  X  X  0
 0  X  0  0  0  0  0  X  0  0  X  X  0  0  X  0  0  X  X  X  X  X  0  0  X
 0  0  X  0  0  0  0  X  0  X  X  0  0  X  X  X  X  0  0  X  X  0  0  X  X
 0  0  0  X  0  0  0  X  X  0  X  0  X  X  0  X  0  X  0  0  0  X  0  X  X
 0  0  0  0  X  0  X  0  X  X  0  X  X  0  0  0  0  X  X  X  X  0  X  0  X
 0  0  0  0  0  X  X  0  0  X  X  0  X  0  X  X  X  X  X  X  0  X  X  X  X

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+12x^21+21x^22+24x^24+40x^25+12x^29+10x^30+7x^32+1x^38

The gray image is a linear code over GF(2) with n=50, k=7 and d=21.
This code was found by Heurico 1.16 in 0.0561 seconds.