The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+74x^46+116x^47+185x^48+268x^49+363x^50+426x^51+441x^52+486x^53+438x^54+512x^55+543x^56+538x^57+537x^58+532x^59+485x^60+446x^61+453x^62+346x^63+321x^64+258x^65+150x^66+104x^67+62x^68+52x^69+30x^70+10x^71+10x^72+2x^74+2x^75+1x^86

The gray image is a linear code over GF(2) with n=114, k=13 and d=46.
This code was found by Heurico 1.10 in 2.59 seconds.