The generator matrix

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

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+82x^46+288x^47+299x^48+496x^49+392x^50+476x^51+328x^52+404x^53+332x^54+290x^55+217x^56+216x^57+88x^58+90x^59+43x^60+36x^61+2x^62+6x^63+7x^64+2x^67+1x^68

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 0.581 seconds.