The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  1  X  0  1  0  X  0  1  1  0  X  X  1  0  0  X  1  1  0  1  0  1  1  X  1  1  1  1  X  1  0  X  0  1  0  X  0  X  0  0  X  X  1  X  1  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  0  1  1  X  1  X  1  0  0  X  1  1  0  1  X  1 X+1  X  1  0  X X+1  0  1  X  X X+1 X+1  1  X  1  1  0 X+1  1  X  1  1  X  1  1  X X+1  X  1  X
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  0  X X+1 X+1  0  1  1 X+1  X  1  0  0 X+1  X  1  X X+1  0  1 X+1  1  0  X  0 X+1  0 X+1  0  1 X+1  1 X+1  1 X+1 X+1  0  0  X  1  X  0  0  X  1  0  X
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1 X+1  X X+1  X X+1 X+1  1  1  0  X X+1 X+1  X  0  X  X X+1 X+1 X+1  1  1  1  0  1  0  0  X  0  0  0  0  1  0 X+1  1  1  1 X+1  1 X+1  X  X  0  1  0  1
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1 X+1  0  X  0  0 X+1  1 X+1 X+1  0  1  X  X  1  0  X  0  X X+1 X+1  1 X+1 X+1  0 X+1  1  0  1  1  1  0  X  1 X+1  0  0  X  1  X  1 X+1  0  1  1
 0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  0  0  X  0  0  0  X  0  X  X  0  X  X  0  0  X  0  0  X  0  X  0  X  X  X  0  0  X  X  0  0  0  X  0  X  0  X  X  X  0  X
 0  0  0  0  0  0  X  0  X  0  X  X  0  X  X  X  X  0  0  0  0  X  0  0  X  X  X  X  0  X  X  X  0  0  0  0  0  0  X  X  X  0  X  0  X  0  X  0  X  X  0  X  0  X  0  0  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+187x^50+441x^52+465x^54+499x^56+555x^58+478x^60+457x^62+393x^64+286x^66+204x^68+88x^70+30x^72+8x^74+1x^76+2x^78+1x^80

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 2.36 seconds.