The generator matrix

 1  0  1  1  1 X+2  1  1  2  X  1  1  1  X  1 X+2  1  1  1  1  2  2  1  1  1  0  2  1  1  1  1  1  X  1  1  1  X  1  1  X  1  1  1 X+2  1  1  1  1  X  X  0  1  1  2
 0  1  1  0 X+3  1  X X+1  1  1 X+2  3 X+1  1 X+2  1  2  3  X X+1  1  1  0  X  3  1  1  1 X+3  X  3  0  1  3  2 X+3  1  3  3  X X+1 X+3  2  1 X+3  2  1  2 X+2  X  2  2 X+1  1
 0  0  X  0 X+2  0  0  0  2  2  0  2  X X+2  X X+2  X X+2  X  2 X+2  X X+2  X  0  2  X  0 X+2  0  0  2  0 X+2 X+2 X+2  X  2  0  0  X  2  X  0  2 X+2 X+2  X  X  X  2  X  0  X
 0  0  0  X  0  0  X  2 X+2  X  0  0  X  0 X+2 X+2  2  X  0 X+2  2 X+2  X  0 X+2  X  2 X+2  2 X+2  2  2  X  X  2 X+2  2  2 X+2 X+2  2  0 X+2 X+2  X X+2 X+2  X  X  X  X X+2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  2  2  0
 0  0  0  0  0  2  0  2  2  2  2  0  0  0  2  2  0  2  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  0  2  2  0  2  2  0  0  2  0  2  0  0  0  0  0  0  0  2
 0  0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  0  2  0  2  2  2  0  0  2  2  2  2  0  0  0  2  0  2  2  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  0  2  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+107x^46+92x^47+439x^48+276x^49+665x^50+480x^51+939x^52+676x^53+1018x^54+696x^55+811x^56+508x^57+612x^58+256x^59+290x^60+76x^61+117x^62+12x^63+76x^64+35x^66+3x^68+6x^70+1x^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 3.14 seconds.