The generator matrix

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

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+80x^46+242x^47+428x^48+424x^49+343x^50+442x^51+456x^52+404x^53+290x^54+242x^55+271x^56+168x^57+107x^58+104x^59+54x^60+12x^61+12x^62+8x^63+6x^64+2x^67

The gray image is a code over GF(2) with n=208, k=12 and d=92.
This code was found by Heurico 1.11 in 0.256 seconds.