The generator matrix

 1  0  0  0  1  1  1  X  1  1  X  X  1  1  0  1  1  1  1  1  1  1  X  0  0  0  1  0  1  1  1  0  0  1  0  1  X  X  X  1  0  X  1  1  1  1  0  X  1  0  X  1  X  1  0  1  0  X  1
 0  1  0  0  0  0  0  X  1 X+1  1  1 X+1 X+1  1  1  X X+1  1  X X+1  0  1  X  X  1 X+1  1  0  X X+1  0  1 X+1  X  1  X  0  1  X  1  0  0  0  X  1  1  1 X+1  X  1  0  1  X  1  X  0  1  0
 0  0  1  0  0  1 X+1  1 X+1  1  X  1  0  X X+1  1 X+1  X X+1  0  0  X  1  1  0  0  1  1  1  X  X  1  X  0  1  X  1  0 X+1 X+1  0  X  X  1 X+1  0  X X+1 X+1  0 X+1  X  0 X+1  1  1  0  1 X+1
 0  0  0  1  1  1  0  1  X X+1 X+1  0  0  1  1  X  0  1 X+1 X+1  X  X  0  1  1 X+1  1  1  1  1 X+1  X  0  X  X  1 X+1  1 X+1  0  X  1  0 X+1  1  X X+1  1  0  1  0  0  0  1 X+1 X+1  1  1  0
 0  0  0  0  X  0  0  X  0  0  0  X  X  X  X  X  X  0  X  0  0  X  0  0  X  0  X  X  0  X  X  0  0  0  X  0  0  X  0  0  X  X  X  0  X  X  0  0  X  0  X  0  0  0  0  0  X  X  X
 0  0  0  0  0  X  X  X  X  X  0  X  0  0  X  0  0  X  0  X  X  X  X  X  0  X  X  0  0  X  X  X  X  0  0  0  0  X  0  0  0  X  0  0  0  X  0  0  X  0  0  0  0  0  X  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+46x^52+50x^53+84x^54+132x^55+93x^56+76x^57+68x^58+82x^59+55x^60+48x^61+54x^62+40x^63+27x^64+32x^65+32x^66+22x^67+26x^68+16x^69+12x^70+8x^71+7x^72+4x^74+4x^75+1x^76+2x^77+2x^78

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 0.148 seconds.