The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  X  1  1  1  1  X  1  1 X^2  1  1 X^2+X  0  1  1 X^2+X  0 X^2+X  X  0  1  0  0  1  X  0  1  1  1  1  X  1  1 X^2  X  1  1  1 X^2+X  1 X^2+X X^2+X  0 X^2  0
 0  1  1 X^2+X X^2+X+1  1 X^2 X+1  1  1 X^2+1  X X^2+X+1 X^2  1  1  X  1 X^2+X+1  0  1  1  1 X^2+X  1  1  1  1  1 X^2+X+1  1  1  1  1  1  X  0  1  1  1  X X+1  X  1  0 X^2+1  X  1  0  1  1  1  1  1
 0  0  X  0 X^2+X  0  X X^2 X^2+X  X X^2  X  X  X X^2+X  X X^2+X X^2+X X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2+X X^2+X X^2+X  0 X^2+X X^2  0 X^2 X^2 X^2+X  0  X X^2+X X^2 X^2+X X^2+X  X  0 X^2  X  X  0 X^2 X^2  0 X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0  0  0
 0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0
 0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 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+44x^48+112x^49+202x^50+200x^51+173x^52+212x^53+242x^54+192x^55+175x^56+220x^57+100x^58+56x^59+45x^60+28x^61+21x^62+8x^64+4x^65+5x^66+2x^68+3x^70+1x^74+2x^78

The gray image is a linear code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 0.245 seconds.