The generator matrix

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

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+19x^54+20x^55+27x^56+36x^57+27x^58+28x^59+18x^60+24x^61+15x^62+12x^63+10x^64+4x^65+1x^66+4x^67+5x^68+1x^70+1x^72+1x^80+1x^84+1x^86

The gray image is a linear code over GF(2) with n=118, k=8 and d=54.
This code was found by Heurico 1.16 in 0.031 seconds.