The generator matrix

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

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+107x^46+56x^47+301x^48+208x^49+417x^50+320x^51+561x^52+360x^53+370x^54+344x^55+436x^56+192x^57+216x^58+48x^59+78x^60+8x^61+33x^62+20x^64+7x^66+9x^68+2x^70+2x^72

The gray image is a linear code over GF(2) with n=212, k=12 and d=92.
This code was found by Heurico 1.16 in 0.726 seconds.