The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+84x^56+8x^58+69x^60+80x^62+143x^64+40x^66+35x^68+44x^72+7x^76+1x^116

The gray image is a linear code over GF(2) with n=126, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0968 seconds.