The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+48x^54+81x^56+45x^58+24x^60+24x^62+21x^64+10x^66+1x^74+1x^104

The gray image is a linear code over GF(2) with n=116, k=8 and d=54.
This code was found by Heurico 1.16 in 0.031 seconds.