The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  X  1  1  1  1  0  1  X  1  1  1  0  1  1  0  1  X  1  1  1  1  0  1  X  1  1  0  1  1  1  1  1  1  1  1  1  1  1  0  1  X  0  1  1  1  X  1  1  0  X  1
 0  1  1  0  1  1  0  1  1  X X+1  1  1  0 X+1  0 X+1  1 X+1  1  X  0 X+1  1 X+1  0  1  0  1 X+1  0 X+1 X+1  1  0  1  X  X  1  X  1  0  0  X X+1  X X+1  0  1  X  1  X  1  1  1 X+1  0  1  0  0  0  1  X
 0  0  X  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  0  X  0  0  X  X  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  0  X  X  X  0  X
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  0  X  X  0  0  0  X  X  X  X  X  X  X  X  0  X  0  0  0  0  X  X  0  X  0  0  0  X  X  0  X  0  X  X  0  0  0  X
 0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  0  X  X  0  X  X  X  0  X  0  X  X  X  0  0  X  0  X  0  0  X  X  0  X  0  X  X  0  0  X  X  0  0  X  X  X  X
 0  0  0  0  0  X  0  0  X  0  0  X  0  X  0  X  0  X  0  0  0  X  X  X  X  0  X  0  X  X  0  0  X  0  0  0  X  0  X  X  0  0  0  X  X  X  X  X  X  0  0  X  0  0  0  0  X  X  X  X  0  0  0
 0  0  0  0  0  0  X  0  X  X  0  0  X  X  X  0  0  0  X  0  X  X  X  X  0  0  0  0  X  X  X  0  0  0  X  0  X  0  0  X  0  X  X  0  0  X  X  0  X  0  X  X  X  X  X  0  0  X  X  0  X  X  X
 0  0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  X  X  X  X  0  0  X  X  X  X  X  X  X  0  0  X  0  0  0  0  X  X  0  0  0  0  X  X  X  0  X  0  0  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+166x^56+92x^58+182x^60+44x^62+186x^64+84x^66+165x^68+36x^70+52x^72+4x^76+7x^80+1x^84+4x^88

The gray image is a linear code over GF(2) with n=126, k=10 and d=56.
This code was found by Heurico 1.16 in 2.4 seconds.