The generator matrix

 1  0  0  1  1  1  X  0  1  1  1  1  X  2  1  1 X+2  1  1 X+2  X  X  1  0  1  1  1  1  0  1  2  0  1  1  1  1 X+2  1  2  1  2  1  2  1  0  1 X+2  1  0  1  1  1  2  2  1
 0  1  0  0  1 X+3  1  1  X  X X+1 X+1 X+2  1  3  X  1 X+3  0  2 X+2  1 X+3  1  1 X+2  2  X  1  3  1  1 X+3  X X+3 X+2  0  2  0  3  1  3  X  X  1  0  1  0  1  3  2  0  1  X X+1
 0  0  1  1  1  0  1 X+1 X+1  X X+3  X  1  X  1  2  1  0 X+1  1  1  X  3  3  X X+1 X+2 X+3  3 X+1 X+2 X+1  X  3  3  X  1 X+2  1  3  X  X  1 X+1  2 X+1 X+2 X+1  0 X+1  X  1  2  1  0
 0  0  0  X  0 X+2  2  0  X  2  2  X  0  0 X+2 X+2  X  0  0 X+2  X X+2  X  X  2  2 X+2  X  X X+2  X  X  2  0  2  X X+2  0  X  0 X+2 X+2  X X+2 X+2  X  X  0  X X+2  0  2 X+2 X+2  2
 0  0  0  0  2  0  2  0  2  2  0  2  2  2  0  2  0  2  2  2  0  0  2  2  2  0  2  2  0  2  0  2  0  0  0  0  0  0  2  2  2  2  0  0  0  2  2  2  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  2  2  2  2  0  2  2  0  0  0  2  0  0  2  2  2  2  0  0  2  0  2  0  0  0  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  0  0  0  0  2  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+194x^48+228x^49+570x^50+508x^51+724x^52+728x^53+882x^54+712x^55+917x^56+692x^57+600x^58+460x^59+409x^60+208x^61+188x^62+48x^63+76x^64+30x^66+15x^68+2x^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 2.83 seconds.