The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  2  1  1 X+2  0  1  1  X  1  1  1  2  1  1  0  0  1  1  0  1  1  2  1  1  1  1  X  1  1  0  2  1  X  1  1  1  1  1  X  X  1
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  2 X+1  1  0  1  1  1  X  1  1 X+2  3  X  1  1  3  1  1 X+2 X+1  1  1 X+2  1  0 X+2 X+2  1  1  1 X+1  0  1  X  2  0  3  1  1  0  2  1  X
 0  0  X  0  0  0  0  0  0  0  2 X+2  0  2  X  0 X+2  X X+2 X+2  2  X  2  0  X  0  X  2 X+2 X+2 X+2  2  2 X+2  2 X+2  X  X X+2  0  X  2  2  X  X  X  X X+2 X+2  X  0  X  2  0  0
 0  0  0  X  0  0  X  2  0  0  0  0  2  X  0  X X+2  0  2  2 X+2  2  X X+2 X+2  X X+2  0  X X+2  2  2 X+2  0  2  X  X  0  X  X  2  2  0  2  0  X  X  X  X X+2  2  2  2 X+2  2
 0  0  0  0  X  0  0  X X+2  2 X+2  2 X+2 X+2  0 X+2  2  X  X  2  0  0 X+2 X+2 X+2  0  X  0 X+2  0  X X+2  0  X  X X+2  X X+2  0  2 X+2  0  2  2  0  2  2  0  2  2 X+2  0  X  2  2
 0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  0  2  0  0  2  0  0  0  0  2  0  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 47.

Homogenous weight enumerator: w(x)=1x^0+80x^47+174x^48+284x^49+433x^50+544x^51+669x^52+740x^53+776x^54+904x^55+878x^56+698x^57+616x^58+476x^59+331x^60+216x^61+132x^62+90x^63+40x^64+46x^65+27x^66+16x^67+16x^68+2x^71+3x^72

The gray image is a code over GF(2) with n=220, k=13 and d=94.
This code was found by Heurico 1.16 in 15.9 seconds.