The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+48x^43+126x^44+246x^45+426x^46+512x^47+717x^48+888x^49+1129x^50+1300x^51+1520x^52+1782x^53+1926x^54+2208x^55+2196x^56+2352x^57+2386x^58+2214x^59+2133x^60+1924x^61+1598x^62+1334x^63+1100x^64+810x^65+583x^66+470x^67+346x^68+168x^69+122x^70+98x^71+50x^72+22x^73+20x^74+8x^75+3x^76+2x^82

The gray image is a linear code over GF(2) with n=114, k=15 and d=43.
This code was found by Heurico 1.11 in 43.4 seconds.