The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  1  X  0  1 X^2  1  X  1  1  1  X  1  1  1  1  X  X  0  1  1 X^2  X X^2 X^2+X  1  X  1  1  1  1  X  1  X  X  1  1  0  0  0  1  X  1  1
 0  1  0  0  0  1 X^2  0 X^2 X+1  1 X^2+1  1  1 X^2+X+1  X X^2  X  X  1  X  0 X^2 X^2+X+1 X^2+X+1 X^2+1  1  1 X^2+X X^2 X+1  1  1  1  1 X^2+X  X X+1  X X^2+1 X^2 X^2+X X^2 X^2  1  X X+1  1  1  1 X^2+X+1  0  1  0
 0  0  1  0  1 X^2  0 X^2+1  1 X^2  X X^2+X+1  1 X+1 X^2+X+1  1 X^2+X  1 X+1  0 X^2 X^2  1 X^2+1  X X+1 X^2+X  X  1 X^2+X+1 X^2+1  1  X X+1  0  1 X^2+X  X X^2+X+1  1  X X^2 X+1  1  0  X X^2+X  1 X^2+X+1 X^2 X^2 X^2+X X^2  0
 0  0  0  1 X^2  0  1  1 X^2+1 X^2+1 X+1 X^2  1  X X+1  0  X X^2+1 X^2+X  X X+1  1 X+1 X^2+X X^2+X+1 X^2+1 X^2+X+1  0 X^2+1 X^2+1 X+1 X+1 X^2+X X^2+X+1 X^2+X  X  1 X^2+1 X^2+1 X^2+X+1  1  1  0 X+1  1 X+1  X X^2 X^2+1  X  X  1 X^2+1  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+72x^48+298x^49+348x^50+504x^51+352x^52+456x^53+371x^54+380x^55+279x^56+322x^57+178x^58+208x^59+118x^60+84x^61+63x^62+44x^63+10x^64+8x^65

The gray image is a linear code over GF(2) with n=216, k=12 and d=96.
This code was found by Heurico 1.11 in 0.219 seconds.