The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+70x^47+149x^48+252x^49+193x^50+450x^51+329x^52+530x^53+266x^54+518x^55+292x^56+440x^57+153x^58+218x^59+100x^60+48x^61+14x^62+20x^63+14x^64+4x^65+13x^66+4x^67+11x^68+6x^69+1x^74

The gray image is a linear code over GF(2) with n=216, k=12 and d=94.
This code was found by Heurico 1.16 in 0.853 seconds.