The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1  1 X^2+X  0  1  1 X^2  1  0  1  1  1 X^2+X  1  1  0  X  1  1  1  1  1  1  0 X^2  1  1 X^2  1  X  X  0  1 X^2+X  0  1  1  0  1  0  X X^2+X
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1 X^2 X+1  1  0  1  1  1  X X^2+X+1  1 X^2+X+1  1 X^2+1  X X^2+X  1 X^2+1  0  1  1  0 X^2 X+1 X^2+X X^2+1 X^2+X+1  1  1  X X^2+1  1  1  1  X  1 X^2+X  1  0 X+1 X^2+1  1 X^2+X+1  0  0  1
 0  0  X  0  0  0  0  0  0  0 X^2 X^2+X  0 X^2  X  0 X^2+X  X X^2+X X^2+X  X X^2  X  X X^2  X  X X^2  X  0 X^2+X X^2+X  X X^2+X X^2 X^2+X  0  X X^2+X X^2 X^2  0 X^2 X^2+X  X  X  0 X^2 X^2  0 X^2+X  0 X^2 X^2+X  X  X  X
 0  0  0  X  0  0  X X^2  0  0  0  0 X^2  X  0  X X^2+X  0 X^2 X^2  X  X  X X^2+X  X X^2+X X^2+X X^2+X  0  X X^2+X X^2 X^2+X  0  0  0 X^2 X^2 X^2+X  X X^2+X X^2+X X^2  0  0 X^2  X X^2  X X^2  X X^2+X X^2+X X^2 X^2+X X^2  0
 0  0  0  0  X  0  0  X X^2+X X^2 X^2+X X^2 X^2+X X^2+X  0 X^2+X X^2  X  X X^2  0 X^2  X  0 X^2+X X^2+X  0  X X^2+X  X X^2+X X^2 X^2+X X^2+X  0  0 X^2+X  X  X X^2 X^2  X  0 X^2+X  X  0 X^2+X X^2+X  X  X  0 X^2 X^2 X^2+X X^2+X  X  0
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2

generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+96x^49+187x^50+288x^51+462x^52+548x^53+669x^54+736x^55+798x^56+846x^57+738x^58+758x^59+601x^60+432x^61+402x^62+218x^63+159x^64+104x^65+43x^66+42x^67+24x^68+20x^69+9x^70+6x^71+2x^72+2x^73+1x^76

The gray image is a linear code over GF(2) with n=228, k=13 and d=98.
This code was found by Heurico 1.16 in 88.8 seconds.