The generator matrix

1 0 0 0 1 1 1 0 1 1 X 1 X 1 0 0 1 1 1 X 0 X 1 1 1 0 X X 1 0 1 1 1 1 1 0 1 X X X 0 1 0 0 1 1 1 1 1 1 1 1 1 1 X X 1 0 0 1 1 X
0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X 1 0 1 1 X 0 X+1 1 X 1 X 0 1 1 0 1 X X+1 1 X+1 1 1 X X X+1 1 X 0 X+1 0 X 1 X+1 X+1 1 X+1 1 1 X 0 0 1 1 0 1
0 0 1 0 0 1 1 1 X X+1 X+1 0 1 X+1 0 X 1 X X X+1 1 1 X 1 X+1 1 X 1 X+1 X 0 0 X+1 X X+1 X+1 0 1 0 1 X X 1 1 1 X X 0 1 X 0 X+1 0 X+1 X 1 X+1 X 1 1 1 1
0 0 0 1 1 X X+1 1 0 0 0 X+1 X+1 X+1 1 1 0 X 1 X 1 1 0 X+1 X X+1 0 X X+1 1 1 X 0 1 X 0 X X+1 0 X 1 1 0 X 0 1 X+1 1 X X 0 X+1 1 1 1 X+1 X+1 X X+1 0 0 1
0 0 0 0 X 0 X X 0 0 0 X X X X X X X 0 X 0 0 X 0 0 0 X X 0 0 0 X X X 0 0 X 0 X 0 0 X X X 0 0 0 X X 0 X 0 0 X 0 X X X 0 0 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+56x^57+73x^58+62x^59+50x^60+42x^61+47x^62+38x^63+31x^64+16x^65+17x^66+16x^67+10x^68+4x^69+15x^70+2x^71+4x^72+2x^73+6x^74+6x^75+6x^77+2x^78+4x^79+2x^81

The gray image is a linear code over GF(2) with n=124, k=9 and d=57.
This code was found by Heurico 1.10 in 88.7 seconds.