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

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+27x^48+24x^49+28x^50+104x^51+148x^52+104x^53+27x^54+24x^55+16x^56+8x^58+1x^102

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 0.0812 seconds.