The generator matrix

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

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+45x^56+94x^57+75x^58+86x^59+82x^60+102x^61+89x^62+46x^63+64x^64+56x^65+51x^66+30x^67+33x^68+32x^69+23x^70+22x^71+20x^72+26x^73+14x^74+4x^75+9x^76+10x^77+4x^78+4x^79+2x^80

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 0.169 seconds.