The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+46x^49+162x^50+150x^51+251x^52+134x^53+243x^54+126x^55+222x^56+168x^57+241x^58+86x^59+133x^60+28x^61+16x^62+18x^63+2x^65+8x^66+4x^67+6x^69+1x^70+1x^72+1x^74

The gray image is a code over GF(2) with n=220, k=11 and d=98.
This code was found by Heurico 1.16 in 0.254 seconds.