The generator matrix

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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+154x^46+192x^47+621x^48+524x^49+738x^50+712x^51+870x^52+776x^53+826x^54+708x^55+688x^56+444x^57+436x^58+176x^59+164x^60+48x^61+72x^62+4x^63+22x^64+14x^66+2x^68

The gray image is a linear code over GF(2) with n=212, k=13 and d=92.
This code was found by Heurico 1.16 in 2.67 seconds.