The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+184x^50+434x^52+716x^54+804x^56+911x^58+1022x^60+1098x^62+986x^64+774x^66+654x^68+344x^70+175x^72+59x^74+18x^76+10x^78+1x^80+1x^88

The gray image is a linear code over GF(2) with n=122, k=13 and d=50.
This code was found by Heurico 1.16 in 9.04 seconds.