The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 0 1 1 0 0 1 1 0 1 1 X 1 1 X 0 X 1 X X X 1 1 X 1 1 1 0 0 0 X 1 1 1 1 0 X X 0 0 1 1 X 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 X+1 1 1 1 1 1 1 1 0 1 X+1 1 X X X+1 0 1 X+1 0 X X 0 1 X 0 0 X X+1 1 0 1 X 1 X+1 1 0 1 X+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 0 1 1 1 1 X+1 X+1 X+1 X+1 1 1 1 1 1 1 X+1 1 X X 1 X+1 0 1 X+1 X 1 X+1 1 0
0 0 0 1 0 0 0 0 0 X X 1 1 1 1 X+1 1 1 X 0 X 0 1 X+1 X+1 X X+1 1 X+1 1 0 X 0 X+1 1 X 0 X X+1 1 X X+1 1 1 X+1 0 X X 1 X+1 X X X+1 0 0 X+1 X+1 0
0 0 0 0 1 0 0 1 X 1 1 0 X+1 1 0 1 0 1 X X 0 X+1 X+1 X+1 X 1 0 1 X 1 X+1 1 X 0 X+1 0 X 1 0 1 1 1 X 1 X 0 0 X+1 0 X+1 X X 1 0 1 X X 0
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 0 1 X 1 0 X+1 X X 1 1 X+1 0 X X+1 X+1 X 1 1 X 1 X+1 1 1 X 0 X X+1 1 0 X 1 X+1 0 0 X 0 X 1 X+1 X+1 1 X 1
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 0 X X+1 0 0 X+1 X+1 0 X+1 X+1 1 X+1 1 X+1 0 X 1 X X+1 1 0 0 X+1 X+1 X X 1 X X X+1 1 0 X+1 0 X+1 X+1 1 0 1 X+1 X X+1 X+1 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+130x^46+605x^48+1046x^50+1422x^52+1734x^54+2105x^56+2230x^58+2142x^60+1888x^62+1432x^64+948x^66+440x^68+208x^70+40x^72+8x^74+4x^76+1x^104

The gray image is a linear code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.10 in 9.94 seconds.