The generator matrix

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

generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+84x^47+249x^48+396x^49+441x^50+456x^51+428x^52+334x^53+314x^54+336x^55+326x^56+246x^57+180x^58+136x^59+76x^60+42x^61+22x^62+12x^63+8x^64+6x^65+3x^66

The gray image is a linear code over GF(2) with n=212, k=12 and d=94.
This code was found by Heurico 1.16 in 0.585 seconds.