The generator matrix

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

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+102x^48+84x^49+304x^50+204x^51+437x^52+300x^53+500x^54+340x^55+476x^56+332x^57+364x^58+212x^59+215x^60+52x^61+84x^62+12x^63+29x^64+20x^66+19x^68+8x^70+1x^76

The gray image is a code over GF(2) with n=220, k=12 and d=96.
This code was found by Heurico 1.16 in 0.777 seconds.