The generator matrix

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

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+169x^46+586x^48+1017x^50+1375x^52+1743x^54+2075x^56+2334x^58+2192x^60+1860x^62+1427x^64+873x^66+475x^68+178x^70+55x^72+16x^74+6x^76+1x^78+1x^102

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 59.4 seconds.