The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+188x^50+424x^52+488x^54+539x^56+494x^58+460x^60+482x^62+399x^64+306x^66+186x^68+78x^70+37x^72+12x^74+2x^76

The gray image is a linear code over GF(2) with n=118, k=12 and d=50.
This code was found by Heurico 1.16 in 2.42 seconds.