The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  X  1  1  0  1  1  1  X  1  1  1  0  0  1  1  1  1  0  X  X  0  X  0  1  X  1  1  1  1  1  X  0  X  0  1  1  1  X  1  0  0  1
 0  1  1  0  1  1  0 X+1  1  1  0  1 X+1  0  1 X+1  X  1  0 X+1  1  0  X  1  1  0 X+1 X+1  1  1  0  X X+1  1  1  1  0  X  1  1  1  1  X  X  X X+1 X+1  1  1  1  1  0  1  X  1  1  1  X  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  0  X  0  X  X  0  X  X  X  X  X  0  X  0  X  0  X  0  X  0  X  0  X  X  0  X  X  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  0
 0  0  0  X  0  0  0  X  0  X  X  0  0  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  X  0  X  X  0  X  0  X  X  0  0  X  X  X  X  0  X  0  0  0
 0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  X  X  X  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  X  X  X  X  X  X  X  X  0  X  X  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  0  0  X  X  X  X  0  0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  X  X  0  0  X  0  0  X  0  X  X  0  0  0  X  X  0  X  0  0  X
 0  0  0  0  0  0  X  X  0  X  0  X  X  0  0  X  0  0  0  X  0  X  0  X  X  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  X  0  0  X  0  0  X  X  X  X  0  X  0  X  0  0  0  0  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+14x^52+30x^53+44x^54+36x^55+55x^56+50x^57+38x^58+38x^59+30x^60+34x^61+27x^62+42x^63+13x^64+14x^65+5x^66+10x^67+10x^68+6x^70+2x^71+3x^72+4x^74+2x^76+3x^78+1x^82

The gray image is a linear code over GF(2) with n=118, k=9 and d=52.
This code was found by Heurico 1.16 in 0.063 seconds.