The generator matrix

 1  0  0  0  1  1  1  1 X^2  1 X^2+X  X  1 X^2  1  1  1  X  1  1  1 X^2  0  X  X  0  1  1  1  0  1  1  1  1  1  0  0 X^2  1  1  1  1 X^2+X  1  1  1  1 X^2+X  1  1  1 X^2+X X^2+X  1
 0  1  0  0  0  1 X^2 X^2+1  1 X^2+X+1 X^2  1  0  1 X^2+1 X^2  1  1 X^2+1 X^2+1 X^2+X X^2+X  1  1  X  X  0 X^2+X+1 X^2+X+1  1  1 X^2+X  0 X^2 X^2  1  1  1 X^2  X  1 X^2+X+1  1 X^2+1  0 X^2+1  1  1  X X+1  1 X^2+X X^2  0
 0  0  1  0  0  1 X^2+1 X^2+X X+1 X^2+1  1 X^2 X^2+X+1 X^2+1  X  X X^2+X+1 X^2+X+1  0 X^2+X+1 X+1  1 X^2+1  X  1  1  1 X^2+1 X^2+X X^2+X X^2+1 X^2+X  1 X^2+X X^2  1 X+1 X^2 X+1 X+1 X^2+X+1 X^2+X+1  0 X+1  1 X^2+X X^2 X^2+1  0  0  0  1  X X^2+X
 0  0  0  1  1 X^2  1 X+1 X+1 X^2+1 X^2+1 X^2+1  X  X  0 X^2+1 X+1 X+1 X^2+X X^2  0 X^2+1  0 X+1  X  1 X+1  X X^2+X+1 X^2 X+1 X^2+1 X+1  X X^2+X+1 X+1 X^2+X+1 X^2  1 X^2+X  1  X  X  X X^2+1 X^2+X+1 X^2  1 X^2  1 X^2+X X+1  1 X^2+X
 0  0  0  0  X  0  0  0  0  X  X  X X^2+X  X  X X^2+X  X X^2 X^2+X X^2 X^2+X  X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X  X X^2+X X^2  0  0  X X^2  X  X X^2+X  0 X^2+X X^2  0 X^2  X X^2+X X^2  X X^2+X  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+89x^46+342x^47+637x^48+842x^49+1106x^50+1356x^51+1433x^52+1744x^53+1671x^54+1450x^55+1540x^56+1260x^57+1015x^58+746x^59+489x^60+338x^61+175x^62+88x^63+24x^64+22x^65+5x^66+2x^67+4x^68+2x^69+3x^70

The gray image is a linear code over GF(2) with n=216, k=14 and d=92.
This code was found by Heurico 1.13 in 3 seconds.