The generator matrix

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

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+154x^45+271x^46+546x^47+326x^48+896x^49+661x^50+1060x^51+628x^52+916x^53+634x^54+824x^55+288x^56+544x^57+182x^58+124x^59+28x^60+34x^61+39x^62+6x^63+9x^64+16x^65+5x^66

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 87 seconds.