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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+70x^45+192x^46+284x^47+380x^48+482x^49+632x^50+724x^51+766x^52+934x^53+1033x^54+1028x^55+1094x^56+1078x^57+1145x^58+1110x^59+978x^60+982x^61+816x^62+712x^63+573x^64+466x^65+355x^66+212x^67+168x^68+78x^69+47x^70+24x^71+8x^72+6x^73+3x^74+2x^75+1x^98

The gray image is a linear code over GF(2) with n=114, k=14 and d=45.
This code was found by Heurico 1.16 in 58.5 seconds.