The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1  0  1  X  1  1  1 X^2+X  1  1  1 X^2  X  1 X^2  1  X  1  0  1  1  1  1 X^2+X  1 X^2+X X^2  1  1 X^2+X  1  1  X  1 X^2  1  1  1
 0  1  1  0 X^2+X+1  1 X+1 X^2+X  1 X^2  1 X^2+X+1 X^2+X+1  0  1  X  1 X^2+1  1 X^2+1 X^2+X  0  1 X^2+1 X^2+X X^2  1  1 X+1  1 X^2+X+1  1  X  1 X+1  X X^2+1 X^2+1  1  1  1  1 X+1  X  1 X^2+1 X^2+X+1  1  0 X^2 X^2+1 X^2+X+1 X+1
 0  0  X  0 X^2+X  0 X^2 X^2  X X^2+X X^2+X  0  X  X  0 X^2 X^2+X  0 X^2+X  X X^2+X  X X^2  0 X^2+X  X X^2+X  X X^2+X X^2+X X^2 X^2 X^2  0 X^2+X  X X^2 X^2+X X^2 X^2 X^2+X X^2 X^2+X  0  X X^2 X^2  X  X  0 X^2+X X^2  X
 0  0  0  X  0  0  0 X^2 X^2 X^2 X^2  X  X  X  X  X  X  X X^2+X  X X^2+X X^2+X X^2+X  0 X^2  0  X  0  X  X X^2+X X^2+X  0  0  X  0  X X^2 X^2 X^2+X  X  X  0 X^2+X  X  0  0  X X^2  X  0 X^2  X
 0  0  0  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 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+79x^46+56x^47+409x^48+124x^49+470x^50+208x^51+622x^52+244x^53+593x^54+216x^55+477x^56+132x^57+271x^58+32x^59+76x^60+12x^61+44x^62+13x^64+15x^66+1x^68+1x^76

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 0.71 seconds.