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

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+121x^48+300x^49+261x^50+482x^51+383x^52+454x^53+347x^54+398x^55+347x^56+342x^57+159x^58+210x^59+105x^60+82x^61+45x^62+26x^63+3x^64+6x^65+20x^66+4x^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 0.605 seconds.