The generator matrix

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

generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+26x^58+56x^59+55x^60+56x^61+47x^62+42x^63+40x^64+32x^65+26x^66+18x^67+16x^68+20x^69+12x^70+6x^71+11x^72+16x^73+12x^74+6x^75+4x^76+4x^77+5x^78+1x^84

The gray image is a linear code over GF(2) with n=128, k=9 and d=58.
This code was found by Heurico 1.16 in 0.062 seconds.