The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+94x^48+296x^49+332x^50+416x^51+419x^52+498x^53+368x^54+370x^55+288x^56+260x^57+224x^58+194x^59+127x^60+106x^61+60x^62+22x^63+7x^64+8x^65+6x^67

The gray image is a linear code over GF(2) with n=216, k=12 and d=96.
This code was found by Heurico 1.16 in 0.518 seconds.