The generator matrix

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

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+208x^50+657x^52+1022x^54+1424x^56+1764x^58+1983x^60+2186x^62+2105x^64+1860x^66+1416x^68+902x^70+523x^72+232x^74+79x^76+18x^78+2x^80+1x^84+1x^104

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 67.2 seconds.