The generator matrix

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

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+114x^50+192x^51+214x^52+292x^53+266x^54+204x^55+141x^56+160x^57+140x^58+84x^59+77x^60+44x^61+34x^62+28x^63+30x^64+16x^65+6x^66+4x^67+1x^68

The gray image is a code over GF(2) with n=220, k=11 and d=100.
This code was found by Heurico 1.16 in 0.199 seconds.