The generator matrix

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

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+137x^52+108x^54+189x^56+84x^58+135x^60+116x^62+140x^64+76x^66+16x^68+11x^72+7x^76+3x^80+1x^84

The gray image is a linear code over GF(2) with n=118, k=10 and d=52.
This code was found by Heurico 1.16 in 0.26 seconds.