The generator matrix

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

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+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 code over GF(2) with n=216, k=13 and d=92.
This code was found by Heurico 1.16 in 3.12 seconds.