The generator matrix

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

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+46x^52+66x^53+88x^54+96x^55+82x^56+106x^57+69x^58+72x^59+60x^60+54x^61+56x^62+34x^63+34x^64+20x^65+31x^66+30x^67+14x^68+20x^69+10x^70+6x^71+17x^72+6x^73+2x^74+2x^75+2x^76

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 0.142 seconds.