The generator matrix

 1  0  1  1  1 X^2  1  1  0  0  1  1  1  0  1  1 X^2  1  1  1 X^2  1  1 X^2  1  0  1  1  1  0  1 X^2+X  1  1  1  1  1 X^2+X X^2 X^2+X  1  1  1  1  0 X^2+X  1  1  X X^2+X  X X^2 X^2  X
 0  1  1  0  1  1 X^2 X+1  1  1 X^2 X^2+X+1 X^2  1 X^2+1 X^2  1 X^2+X+1 X^2+X  1  1 X^2 X+1  1 X^2  1 X+1 X^2+X X^2+1  1 X^2+1  1 X^2+X X^2+1  0  0  0  1  1  1 X^2+1 X^2+X X^2+X X+1  1  1  1 X^2+1  0  1  1  1  1 X^2+X
 0  0  X  0  0  0  0 X^2 X^2+X  X X^2+X X^2+X X^2+X X^2  0 X^2+X  X X^2+X  0 X^2+X X^2  X X^2  0 X^2 X^2 X^2 X^2+X  X X^2+X X^2+X X^2+X  0  X X^2 X^2 X^2+X X^2  X  0  0 X^2+X  0  0 X^2+X  0 X^2  0  X  X  X  X X^2  X
 0  0  0  X  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2+X  X X^2+X X^2+X  X X^2+X X^2+X  X  X X^2+X X^2+X X^2+X X^2+X  X  0 X^2+X X^2+X X^2 X^2 X^2+X  0  0  X  X X^2+X  0  X X^2+X  0  X  X  X  X X^2 X^2+X  X  0  X  X  0  X
 0  0  0  0  X X^2+X X^2+X X^2  X  0  0 X^2+X  X  X  X X^2+X X^2  X  X X^2  0 X^2  X  X X^2+X  0 X^2  0 X^2+X  X  0  X X^2+X  X X^2+X  0 X^2+X  0 X^2 X^2+X  0  X X^2+X X^2  0 X^2  0 X^2+X X^2+X X^2+X X^2 X^2+X  X X^2+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+254x^48+100x^49+458x^50+196x^51+636x^52+220x^53+574x^54+216x^55+488x^56+204x^57+338x^58+68x^59+212x^60+20x^61+58x^62+29x^64+12x^66+8x^68+4x^72

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 6.57 seconds.