The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^46+324x^47+658x^48+870x^49+1129x^50+1334x^51+1398x^52+1574x^53+1669x^54+1640x^55+1472x^56+1334x^57+991x^58+736x^59+528x^60+298x^61+191x^62+60x^63+37x^64+20x^65+12x^66+2x^67+2x^68

The gray image is a code over GF(2) with n=216, k=14 and d=92.
This code was found by Heurico 1.16 in 8.65 seconds.