The generator matrix

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

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+16x^57+32x^58+50x^59+52x^60+34x^61+38x^62+36x^63+37x^64+34x^65+36x^66+24x^67+25x^68+38x^69+14x^70+12x^71+6x^72+6x^73+4x^74+6x^75+2x^76+3x^78+3x^80+1x^84+1x^94+1x^96

The gray image is a linear code over GF(2) with n=128, k=9 and d=57.
This code was found by Heurico 1.16 in 0.078 seconds.