The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+100x^49+48x^50+128x^51+30x^52+64x^53+40x^54+60x^55+7x^56+28x^57+4x^63+1x^64+1x^80

The gray image is a code over GF(2) with n=208, k=9 and d=98.
This code was found by Heurico 1.16 in 0.0772 seconds.