The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X
 0  X  0 X+2  0 X+2  0  X  0 X+2  0  X  0 X+2  2 X+2  0 X+2  2  X  0 X+2  2 X+2  0 X+2  2  X  0 X+2  2 X+2  2  X  0  2  2 X+2  X  X  0  2  2  2 X+2  X X+2  X  0  X X+2  0
 0  0  2  0  0  0  2  0  0  0  0  0  2  0  2  0  0  2  0  2  0  2  2  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  0
 0  0  0  2  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  2  0  2  0  2  0  0  0  2  2  0  0  0  0  2  2  0  0  0  0  2  2  2  2  0  0
 0  0  0  0  2  0  2  0  0  2  2  2  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  0  2  0  2  2  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  0  2  2  0  2  0  0  0  2  2  0  2  0  0  2  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+37x^48+58x^50+64x^51+195x^52+64x^53+60x^54+22x^56+10x^58+1x^100

The gray image is a code over GF(2) with n=208, k=9 and d=96.
This code was found by Heurico 1.16 in 0.0832 seconds.