The generator matrix

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

generates a code of length 54 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+134x^46+72x^47+305x^48+328x^49+522x^50+760x^51+753x^52+888x^53+772x^54+888x^55+702x^56+760x^57+490x^58+328x^59+238x^60+72x^61+97x^62+38x^64+28x^66+7x^68+4x^70+2x^72+2x^76+1x^78

The gray image is a linear code over GF(2) with n=216, k=13 and d=92.
This code was found by Heurico 1.16 in 3.26 seconds.