The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+48x^57+108x^58+80x^59+57x^60+74x^61+128x^62+84x^63+30x^64+68x^65+57x^66+52x^67+20x^68+36x^69+42x^70+28x^71+8x^72+24x^73+40x^74+12x^75+11x^76+2x^77+6x^78+1x^80+4x^81+3x^82

The gray image is a linear code over GF(2) with n=128, k=10 and d=57.
This code was found by Heurico 1.16 in 28.4 seconds.