The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+60x^61+32x^62+31x^64+4x^77

The gray image is a linear code over GF(2) with n=124, k=7 and d=61.
This code was found by Heurico 1.16 in 3.49 seconds.