The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+52x^57+68x^58+64x^59+50x^60+48x^61+68x^62+28x^63+5x^64+16x^65+40x^66+18x^67+2x^68+6x^69+10x^70+10x^71+2x^72+2x^73+4x^74+6x^75+4x^76+2x^77+2x^79+2x^81+2x^86

The gray image is a linear code over GF(2) with n=124, k=9 and d=57.
This code was found by Heurico 1.16 in 0.422 seconds.