The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+24x^58+50x^59+32x^60+46x^61+24x^62+8x^63+31x^64+8x^65+4x^66+4x^67+4x^69+4x^70+4x^74+2x^75+6x^77+4x^78

The gray image is a linear code over GF(2) with n=124, k=8 and d=58.
This code was found by Heurico 1.16 in 0.031 seconds.