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  0  1  1  2  1  1  1  X  1  1  X  1  1  2  X  1  0
 0  X  0  X  0  0  X X+2  2  2  X X+2  0  2 X+2 X+2  0  2  X X+2  X  0  2 X+2  0  2  0  X  X  0  X  X  0  2  2  0  X  0  X X+2  0  X  2  2 X+2  X  2  2  X  X X+2  X X+2 X+2  2
 0  0  X  X  0 X+2  X  2  0  X  X  0  2  X X+2  2  0  X X+2  0  0  2 X+2  X  0  0 X+2  X  2 X+2  X  2  0  X  2 X+2 X+2  0  2  0  X X+2  X  2  X  X X+2  0 X+2  0  0  2  2  X  X
 0  0  0  2  0  0  2  0  0  2  0  2  2  2  0  2  0  0  0  2  0  2  2  2  2  2  0  0  0  2  2  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  2  0  0  2  0  2  0  2  0  2  0  0  2  0  2  2  0  0  2  0  0  2  2  0  2  2  0  0  2  0  0  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  0  2  2  2  0  0  2  0  0  2  2  0  2  2  0  0  2  0  2  2  2  0  0  2  0  2  0  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+126x^50+8x^51+64x^52+128x^53+113x^54+240x^55+31x^56+128x^57+85x^58+8x^59+27x^60+43x^62+3x^64+17x^66+1x^68+1x^96

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 0.567 seconds.