The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+66x^46+220x^47+410x^48+466x^49+449x^50+448x^51+377x^52+336x^53+305x^54+290x^55+235x^56+170x^57+139x^58+92x^59+39x^60+20x^61+17x^62+6x^63+10x^64

The gray image is a code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.16 in 0.497 seconds.