The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+55x^48+110x^49+316x^50+180x^51+575x^52+184x^53+613x^54+168x^55+607x^56+144x^57+533x^58+118x^59+273x^60+52x^61+71x^62+30x^63+20x^64+18x^65+3x^66+14x^67+4x^68+4x^69+2x^71+1x^80

The gray image is a code over GF(2) with n=220, k=12 and d=96.
This code was found by Heurico 1.16 in 0.76 seconds.