The generator matrix

 1  0  0  1  1  1  2  1  1  2  1  1  0  0  X X+2  1  1  X  1  X  1  1  1  X  0  X  1  1  1 X+2  0  1  1  X  2  1  1 X+2  X  2  X  1  1  2  1  0  1  1  1  0  1
 0  1  0  2  3  1  1  0  3  1  2  1  1 X+2  X  0  X X+3  1 X+3  1  X X+2 X+1  1  X  1 X+3  X X+2  1  1 X+1 X+1  0  1  X  0 X+2  1  2 X+2  2 X+2  1  X  1  3  1  X  1  0
 0  0  1 X+3 X+1  2 X+1 X+2  3  3  1  X X+2  1  1  1  1  X  X  3  3  0 X+1  0  2  1 X+3 X+1  X  2 X+3  1 X+2  3  1 X+3 X+3  2  1  1  1  1 X+2 X+2  2  2 X+1  1  0 X+2 X+3  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+80x^49+99x^50+92x^51+56x^52+58x^53+35x^54+28x^55+21x^56+14x^57+8x^58+12x^59+1x^60+4x^61+2x^62+1x^72

The gray image is a code over GF(2) with n=208, k=9 and d=98.
This code was found by Heurico 1.13 in 0.031 seconds.