The generator matrix

 1  0  0  0  1  1  1  X X+2  1  1  1  X  0  1  2  2  1  1  2  1  1  1  X  1  1  2  1  1  X  0  1 X+2  1 X+2  2  1 X+2  1 X+2  X  1  0  1  X  0  1  2 X+2  1  1  1  1  1  1
 0  1  0  0  X  0  X X+2  1  3  3  3  1  1 X+3 X+2  1 X+1 X+2  1  1 X+2  X X+2  1 X+2  X X+3 X+1  1  1  3  1  2  1  1 X+1  2  1  1  2  X  0  3  1  1  3 X+2  0 X+2  2 X+2  X  X  0
 0  0  1  0  X  1  1  1  3  2  3 X+1  0  1 X+2  1  1 X+3 X+1  X  0  2 X+1  X  2  0  1 X+2  1  1 X+3 X+3  X X+3  3 X+3  3  1  3  2  1  0  1  1 X+1  0 X+2  2  1  X  3  X  0  3  0
 0  0  0  1 X+1 X+3  0 X+3  2  1 X+3  2  1  1  0  X X+1 X+3  2 X+3 X+3  1 X+1  1 X+2  X  1 X+1 X+2 X+3  2  3  1  1  X  X  0 X+2  1 X+2  3 X+3  X  2 X+3  0  0  1  3  3  1 X+2  3  1  2
 0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  0  2  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  2  2  2  2  0  0  0  0  0  0  2  0  2  0  0  2  0  2  2  2  0  2
 0  0  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  0  0  2  0  2  2  0  0  2  0  0  0  0  0  0  2  2  2  2  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+122x^47+412x^48+498x^49+1005x^50+950x^51+1472x^52+1348x^53+1725x^54+1454x^55+1818x^56+1276x^57+1399x^58+900x^59+931x^60+414x^61+367x^62+140x^63+57x^64+46x^65+16x^66+18x^67+12x^68+2x^69+1x^76

The gray image is a code over GF(2) with n=220, k=14 and d=94.
This code was found by Heurico 1.16 in 8.85 seconds.