The generator matrix

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

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+65x^46+122x^47+234x^48+262x^49+320x^50+400x^51+419x^52+496x^53+468x^54+524x^55+535x^56+544x^57+579x^58+490x^59+468x^60+532x^61+426x^62+328x^63+288x^64+222x^65+161x^66+118x^67+92x^68+52x^69+28x^70+2x^71+10x^72+4x^73+1x^76+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 1.16 in 7.92 seconds.