The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+134x^49+223x^50+424x^51+344x^52+446x^53+405x^54+466x^55+317x^56+326x^57+261x^58+290x^59+139x^60+122x^61+67x^62+62x^63+26x^64+28x^65+4x^66+6x^67+5x^68

The gray image is a code over GF(2) with n=220, k=12 and d=98.
This code was found by Heurico 1.16 in 0.728 seconds.