The generator matrix

 1  0  0  0  1  1  1  X  1  1  X  1  X  X  1  1  1  0  1  0  X  0  0  1  1  1  0  1  X  1  1  1  1  X  0  1  0  1  1  X  1  X  0  0  0  X  1  1  X  X  X  1  0  1  1  1  X  0
 0  1  0  0  0  0  0  0  1 X+1  1  1  1  1 X+1  X  X  1  1  X  1  0  1  0  X X+1  1  1  1  1  X  X X+1  X  1 X+1  X  X  0  X  X  1  1  1  1  X X+1  X  1  0  X X+1  1  0  1  X  1  0
 0  0  1  0  0  1 X+1  1  1  1  X  0 X+1  1  0  0  X  X  0  1  1  1  1  1 X+1  0  0 X+1  1  X  0  1  X  0  X  1  1  X  X  1  X  0  1  1 X+1  1 X+1  1 X+1  1  0  X  X  1  X  1  1  0
 0  0  0  1  1 X+1  0 X+1  X  1  1 X+1 X+1  X  0  X X+1  1  1  X X+1  1  0  1  0  X  X  1  0  X  0  X  X  1 X+1  0  1 X+1 X+1  0  X  X  1 X+1  0  X X+1  0 X+1  0  1  0  0  X  1  X  0  1
 0  0  0  0  X  X  X  0  X  X  0  X  0  0  X  X  0  X  0  X  X  X  X  0  X  0  X  0  0  0  0  0  X  0  X  0  X  X  0  0  X  X  0  X  X  X  0  0  X  X  X  X  0  0  0  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+52x^53+71x^54+66x^55+58x^56+42x^57+37x^58+30x^59+31x^60+20x^61+23x^62+14x^63+14x^64+12x^65+9x^66+8x^67+5x^68+2x^70+6x^71+3x^72+2x^73+2x^74+2x^75+2x^79

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 3.23 seconds.