The generator matrix

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

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+181x^46+188x^47+559x^48+472x^49+899x^50+556x^51+1046x^52+648x^53+933x^54+628x^55+736x^56+360x^57+474x^58+164x^59+198x^60+56x^61+59x^62+16x^64+11x^66+4x^68+3x^70

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 2.88 seconds.