The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1
 0  X  0 X+2  0 X+2  2 X+2 X+2  0  X  0  0 X+2  2 X+2  0 X+2  0 X+2  2  X  2  X  0 X+2  2 X+2  0  X  2  X  0 X+2  0  2  2 X+2  X  X  0  0  2  2 X+2  X X+2  X  2  X X+2  0  2  0  0
 0  0  2  0  0  0  2  0  2  0  2  0  0  0  0  0  0  2  2  0  2  2  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  0  2  2  2  2  0  2  0  2  2  2  2  2  2  2  2  0  2  0  2  0  2  2  2  2  2  0  2  0  0  2  2  2  0  2  0  0  2  2  2  0  0
 0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  2  2  0  0  2  2  2  0  0  0  0  2  2  2  0  0  2  2  0  0  0  2  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  0  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  0  0  2  0  2  0  2  2  0  0  0  0  2  2  2  0  0  0  2  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+24x^50+10x^51+10x^52+34x^53+102x^54+172x^55+78x^56+28x^57+23x^58+10x^59+6x^60+2x^61+10x^62+1x^64+1x^106

The gray image is a code over GF(2) with n=220, k=9 and d=100.
This code was found by Heurico 1.16 in 0.0996 seconds.