The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+367x^52+629x^56+488x^60+313x^64+199x^68+49x^72+2x^76

The gray image is a linear code over GF(2) with n=118, k=11 and d=52.
This code was found by Heurico 1.10 in 4.25 seconds.