The generator matrix

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

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+168x^49+279x^50+252x^51+51x^52+24x^53+13x^54+12x^55+25x^56+72x^57+75x^58+48x^59+3x^60+1x^62

The gray image is a code over GF(2) with n=208, k=10 and d=98.
This code was found by Heurico 1.16 in 77.9 seconds.