The generator matrix

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

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+51x^56+80x^57+67x^58+94x^59+91x^60+114x^61+79x^62+38x^63+62x^64+64x^65+59x^66+26x^67+29x^68+38x^69+27x^70+22x^71+16x^72+14x^73+14x^74+8x^75+4x^76+8x^77+10x^78+4x^79+2x^80+2x^81

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 0.159 seconds.