The generator matrix

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

generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+147x^46+631x^48+989x^50+1381x^52+1731x^54+2155x^56+2284x^58+2144x^60+1881x^62+1340x^64+957x^66+497x^68+201x^70+41x^72+2x^74+1x^76+1x^108

The gray image is a linear code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.16 in 61.5 seconds.