The generator matrix

 1  0  1  1  1  0  1  1  0  1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  1  X  1  X  1  0  X  X  X  X  X  1  1  0  X  X  X  X  0  0  X  X
 0  1  1  0  1  1  0 X+1  1  0  1 X+1  1  0  1  0 X+1  1  0 X+1  1  0  1  1  X X+1  1  X  1  1  X X+1  1  X X+1  1  X X+1  1  X  1  1  X  0  1  X  0  1  0  0  X  X  1  X  X  1  X  0  0  X  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  0  0  0  X  X  X  X  0  0  X  X  0  0  X  0  0  0  0  X  X  0  0  X  X  0  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  X  0  X  0  X  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  0  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  X  X  X  X  0  0
 0  0  0  0  X  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  X  X  0  X  X  X  X  X  X  X  X  X  0  0  0  X  X  0  0  0  0  X  0  X  0  X  X  0  X  0  0  0  X  0  0  0  0  0  X  X  0  0
 0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  0  X  0  0  0  0  X  X  X  X  0  X  0  X  0  0  X  0  0  X  0  X  0  X  0  X  X  X  0  0  X  X  X  0  0  0  X  0  0  X  0  X  X  0  0  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+47x^58+64x^60+48x^62+47x^64+32x^66+16x^68+1x^122

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 0.047 seconds.