The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1  1 X^2+X  0  1  1  1  X  1  1 X^2  1  1  X  1  1  1 X^2  1  1  1  1 X^2  1  1  0 X^2  1  X  1  1  1  0  0  1  1  1  1 X^2
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1 X^2 X+1  1  0  1  1  1  X  1 X^2+X  1 X^2+1  X  1 X^2+X+1  1  1 X^2+X  0  1  1 X^2+X X^2+1  1 X^2  1 X^2 X^2+1  1  1 X+1  X  1 X+1  X  1 X^2 X^2+X+1 X+1  1 X^2  1
 0  0  X  0  0  0  0  0  0  0 X^2 X^2+X  0 X^2  X  0 X^2+X  X X^2+X X^2+X X^2 X^2  X  0  X  0 X^2  X  X X^2+X X^2 X^2+X X^2  0 X^2+X X^2  0 X^2 X^2+X X^2+X X^2+X  0 X^2+X X^2+X X^2  X X^2+X  X  X  X  0 X^2 X^2  0
 0  0  0  X  0  0  X X^2  0  0  0  0 X^2  X  0  X X^2+X  0 X^2 X^2 X^2+X  X X^2 X^2+X X^2+X  X X^2 X^2+X  X X^2  0  0 X^2+X  0  X X^2+X  X  X  X X^2  X  0 X^2+X X^2+X X^2 X^2  X  0  X  X X^2  0 X^2+X  X
 0  0  0  0  X  0  0  X X^2+X X^2 X^2+X X^2 X^2+X X^2+X  0 X^2+X X^2  X  X X^2  0 X^2+X  0 X^2+X X^2+X  0 X^2+X  X X^2  X  0 X^2+X  0  X  X X^2 X^2 X^2+X  X  X X^2+X X^2+X X^2+X X^2  X  0 X^2  0 X^2+X  0  0 X^2  0  0
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  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+138x^46+72x^47+420x^48+232x^49+694x^50+572x^51+907x^52+624x^53+946x^54+756x^55+861x^56+488x^57+602x^58+260x^59+325x^60+64x^61+110x^62+4x^63+66x^64+36x^66+8x^68+2x^70+4x^72

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 3.29 seconds.