The generator matrix

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

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+104x^46+164x^47+281x^48+420x^49+472x^50+650x^51+698x^52+822x^53+935x^54+920x^55+1051x^56+1086x^57+1084x^58+1126x^59+1096x^60+1038x^61+935x^62+794x^63+693x^64+628x^65+469x^66+336x^67+249x^68+146x^69+93x^70+42x^71+26x^72+18x^73+3x^74+1x^76+2x^77+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 62.1 seconds.