The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+204x^50+623x^52+1089x^54+1450x^56+1706x^58+1992x^60+2166x^62+2064x^64+1888x^66+1464x^68+897x^70+520x^72+225x^74+72x^76+16x^78+5x^80+1x^84+1x^106

The gray image is a linear code over GF(2) with n=124, k=14 and d=50.
This code was found by Heurico 1.16 in 67.1 seconds.