The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  0 3X  1 2X  1  1 3X+2 3X  1  1  0  1 2X+2  1 3X+2  1 3X+2  1 X+2 2X+2 3X X+2 2X+2  1 3X 2X  1  X  1 2X+2  1  1  1  1  0  1  1 X+2  1  1  1  X  1
 0  1  0  0  0 2X+1  1  1 2X 3X+3 3X+2  2  1 3X+1  1 2X+2 X+2 2X+2  1 X+1  1  1 X+1  0 3X  1 X+3 2X 3X+2  1 3X  1  1  1 3X  1 3X  0  0  1  2 3X+2 2X+2 3X+1  X X+2 X+1 3X X+2 2X+1 X+2  3  1  2
 0  0  1  0  1  1  0 2X+3 2X 2X+1 X+1  1 X+2 2X+2  1 3X+2  2 X+2 2X+2 X+3 3X 3X+3  X  1 3X+3 3X 2X+1  1  1 2X+2  1 2X+1 X+3 3X 3X X+1  1 X+3  1 2X+2  1  X 3X+3 X+1 2X  1 2X+3  3  1 2X+3 2X 2X 2X+2 2X+2
 0  0  0  1  1 2X+2 2X+3  1 3X+1 X+3  0 3X+1  1  X 3X+2 3X X+1  1  X  2 X+2 2X  1 2X+1  3 X+1 2X+1  0 3X X+1 X+1 X+3  1  2  2 3X  X 3X+3 X+1  0 X+1 3X+2 3X 3X 2X  X 2X 2X 2X+3 3X+1  1  3 2X+2 2X+2
 0  0  0  0  2  0  2  2 2X+2 2X+2  0 2X+2  2 2X 2X 2X 2X+2 2X+2  0 2X  0 2X 2X+2 2X+2  2 2X  0 2X+2  2 2X  0 2X  0  2 2X+2  2  2 2X 2X 2X 2X  2 2X+2  0  2 2X+2 2X+2 2X  0 2X+2 2X+2  0 2X+2 2X

generates a code of length 54 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+232x^46+1060x^47+3003x^48+6976x^49+12042x^50+20290x^51+29847x^52+37220x^53+39920x^54+38016x^55+30569x^56+20356x^57+11967x^58+6400x^59+2605x^60+1088x^61+307x^62+148x^63+55x^64+20x^65+11x^66+6x^67+4x^69+1x^70

The gray image is a code over GF(2) with n=432, k=18 and d=184.
This code was found by Heurico 1.16 in 442 seconds.