The generator matrix

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

generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+82x^46+406x^47+1003x^48+1978x^49+2788x^50+4224x^51+5850x^52+7654x^53+9936x^54+11532x^55+13037x^56+13568x^57+12877x^58+12004x^59+10539x^60+7878x^61+5895x^62+4186x^63+2431x^64+1580x^65+815x^66+380x^67+215x^68+108x^69+51x^70+36x^71+12x^72+2x^73+4x^74

The gray image is a linear code over GF(2) with n=228, k=17 and d=92.
This code was found by Heurico 1.13 in 169 seconds.