The generator matrix

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

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+208x^50+385x^52+498x^54+538x^56+492x^58+521x^60+420x^62+416x^64+298x^66+182x^68+86x^70+37x^72+14x^74

The gray image is a linear code over GF(2) with n=118, k=12 and d=50.
This code was found by Heurico 1.10 in 0.75 seconds.