The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+70x^53+76x^54+44x^55+78x^56+46x^57+12x^58+14x^60+48x^61+30x^62+16x^63+29x^64+16x^65+2x^66+2x^68+10x^69+6x^70+4x^71+4x^72+2x^73+2x^74

The gray image is a linear code over GF(2) with n=116, k=9 and d=53.
This code was found by Heurico 1.16 in 6.4 seconds.