The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+408x^48+494x^50+502x^52+284x^54+180x^56+86x^58+46x^60+32x^62+15x^64

The gray image is a code over GF(2) with n=208, k=11 and d=96.
This code was found by Heurico 1.16 in 60.1 seconds.