The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+70x^51+108x^52+122x^53+155x^54+164x^55+165x^56+150x^57+166x^58+122x^59+101x^60+96x^61+91x^62+80x^63+68x^64+108x^65+65x^66+54x^67+57x^68+30x^69+30x^70+20x^71+10x^72+6x^73+5x^74+2x^75+2x^76

The gray image is a linear code over GF(2) with n=118, k=11 and d=51.
This code was found by Heurico 1.16 in 0.613 seconds.