The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  1 X+2 X+2  0  1  1  1  1  1  X X+2  X X+2  1  1  X  0  1  1  1  1 X+2  1  X  1  1  1  X  X  2  1  2  1  1  2 X+2  1  1 X+2  1  0 X+2  0  1  1
 0  1  0  0  1 X+3  1  2  0  1 X+1  X  1  1 X+2 X+2  1 X+2 X+3  0  1  1  1 X+1  X X+2  1  2 X+3 X+2  1 X+2  0  1  2 X+2 X+3  1  1  X  X  1 X+1 X+3  X  1  1  X X+2 X+1  1  1  X X+1  0
 0  0  1  1 X+1  0 X+3 X+2 X+1  1 X+2  1  X  3  X  1 X+3 X+2  X  1  2  1  1 X+1 X+1  1  X X+2  1 X+1  2  1 X+3  3 X+1  X  0  0  3  1  2 X+2 X+2  2  1 X+3 X+1  1  1  3 X+3 X+2  1  0  0
 0  0  0  X  X X+2  0 X+2  2  0  2  X X+2  X  X  X  2  0 X+2  X  2  2  X  0  0  2  X  0 X+2 X+2  2  X  X X+2  0  2  0  2 X+2  0 X+2  2  0 X+2  0 X+2  0  0  2  X  2  2  X  2  0
 0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  2  2  0  0  0  0  2  2  2  0  2  2  0  0  2  0  0  2  0  0  2  2  2  2  0  2  2  2  0  2  0  0  2  2  2  0  2  0  0  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  0  0  2  2  2  2  2  2  2  2  0  2  0  0  0  0  2  2  0  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  2  0  2  2  2  0  2  0  0  0  0  0  2  0  2  0  2  2  2  0  2  2  2  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 46.

Homogenous weight enumerator: w(x)=1x^0+63x^46+160x^47+349x^48+664x^49+725x^50+1138x^51+1087x^52+1710x^53+1417x^54+1924x^55+1379x^56+1668x^57+1051x^58+1212x^59+657x^60+516x^61+294x^62+164x^63+89x^64+44x^65+28x^66+10x^67+20x^68+6x^69+6x^70+2x^72

The gray image is a code over GF(2) with n=220, k=14 and d=92.
This code was found by Heurico 1.16 in 9.89 seconds.