The generator matrix

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

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+116x^45+244x^46+606x^47+528x^48+682x^49+681x^50+940x^51+766x^52+934x^53+664x^54+710x^55+398x^56+394x^57+214x^58+154x^59+58x^60+46x^61+20x^62+20x^63+9x^64+4x^65+1x^66+2x^67

The gray image is a linear code over GF(2) with n=208, k=13 and d=90.
This code was found by Heurico 1.16 in 2.6 seconds.