The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  0  1  1  1  X  1  1  1  0  0  1  1  1  1  0  X  X  0  X  0  1  X  1  1  1  1  1  X  0  X  0  1  1  X  1  1  0  0  1  0  1  X  1
 0  1  1  0  1  1  0 X+1  1  1  0  1 X+1  0  1 X+1  X  1  0 X+1  1  0  X  1  1  0 X+1 X+1  1  1  0  X X+1  1  1  1  0  X  1  1  1  1  X  X  X X+1 X+1  1  1  1  1  0  1  1  X  0  1  1  0  1 X+1  0  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  X  0  X  X  X  X  X  0  X  0  X  0  X  0  X  0  X  0  X  X  0  X  X  0  0  0  X  X  X  X  X  X  X  X  X  X  0  X  X  0  0  0  X  0  0  0
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  X  0  X  X  0  X  0  X  X  0  0  X  X  X  0  X  X  X  0  X  0  0  0  0
 0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  X  X  X  X  X  X  X  X  X  X  X  0  0  0  X  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  X  X  0  0  X  0  0  X  0  X  X  0  0  0  X  0  X  X  0  X  X  0  0  X  0
 0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  0  0  0  X  0  X  0  X  X  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  X  0  0  X  0  0  X  X  X  X  0  X  0  0  X  0  0  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+22x^56+26x^57+56x^58+42x^59+35x^60+54x^61+27x^62+42x^63+32x^64+26x^65+26x^66+30x^67+24x^68+18x^69+3x^70+14x^71+8x^72+4x^73+12x^74+3x^76+1x^78+1x^80+2x^82+2x^84+1x^86

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 0.062 seconds.