The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+56x^53+52x^54+72x^56+86x^57+24x^58+18x^60+54x^61+36x^62+27x^64+50x^65+8x^66+6x^68+10x^69+6x^70+2x^72+2x^80+2x^86

The gray image is a linear code over GF(2) with n=118, k=9 and d=53.
This code was found by Heurico 1.16 in 80.7 seconds.