The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+175x^46+36x^47+448x^48+376x^49+845x^50+1020x^51+1196x^52+1688x^53+1552x^54+1956x^55+1398x^56+1672x^57+1182x^58+1044x^59+736x^60+360x^61+379x^62+40x^63+163x^64+85x^66+20x^68+6x^70+6x^72

The gray image is a code over GF(2) with n=220, k=14 and d=92.
This code was found by Heurico 1.16 in 11.8 seconds.