The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+36x^50+82x^51+142x^52+142x^53+119x^54+114x^55+80x^56+90x^57+62x^58+54x^59+31x^60+20x^61+33x^62+6x^63+1x^64+2x^65+1x^68+2x^69+4x^70+2x^78

The gray image is a code over GF(2) with n=220, k=10 and d=100.
This code was found by Heurico 1.16 in 0.126 seconds.