The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  2  1  1  X  X  1  2  1  1  1  0  1  0  1  1  1  2  0  X  X X+2  0 X+2  X  X  X  X  0  1  1  1  1  1  1  X  X  1  1  X  1  1 X+2  2 X+2
 0  1  0  0  1  1  1  X  2  3  1  1  2  3  0 X+2  1  1  2  0  3  1  1  1  0  2  3  1  X  2  X  X X+2  2  1  1  1  1 X+2  X X+2  X X+2 X+1 X+3  1  1 X+2 X+1  1 X+3  X  1  X  1
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3  1  1  X  1  3 X+2  1 X+2 X+1  2 X+3  2  0 X+3  1  1  1  1  1  1  0  0  1  3  1  0  0  1  1  1  2 X+1 X+2 X+2 X+3 X+3  X X+1 X+1  1  1
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  0  2  0  2  2  0  2  0  2  0  2  0  2  2  2  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 51.

Homogenous weight enumerator: w(x)=1x^0+98x^51+111x^52+168x^53+167x^54+148x^55+73x^56+62x^57+46x^58+40x^59+25x^60+42x^61+9x^62+6x^63+14x^64+12x^67+2x^70

The gray image is a code over GF(2) with n=220, k=10 and d=102.
This code was found by Heurico 1.11 in 0.0764 seconds.