The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+158x^51+91x^52+184x^53+45x^54+166x^55+56x^56+118x^57+30x^58+80x^59+22x^60+42x^61+5x^62+10x^63+4x^64+6x^65+2x^67+2x^69+1x^76+1x^80

The gray image is a code over GF(2) with n=220, k=10 and d=102.
This code was found by Heurico 1.16 in 6.16 seconds.