The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+193x^48+204x^49+618x^50+392x^51+900x^52+620x^53+950x^54+696x^55+944x^56+548x^57+698x^58+408x^59+490x^60+164x^61+214x^62+40x^63+70x^64+12x^66+26x^68+4x^70

The gray image is a code over GF(2) with n=220, k=13 and d=96.
This code was found by Heurico 1.16 in 2.57 seconds.