The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  1  1  2 X+2  1  1  0  1 X+2  1  1  1  2  1  2  1  1  1  0  1  1  2  1  2  1  1 X+2  1  1 X+2  1  1  0  2  1  1  1  X
 0  1  1  0 X+3  1 X+1 X+2  1  2  1  3  X X+1 X+2 X+1  1  1  0  1  1  3  1  X  1  2  1  0  1 X+3  1  1  1 X+2  2  1  2  1 X+1  1  1  X  0  1  3  3  1  0  0  1 X+1  0
 0  0  X  0 X+2  0  2  2  X X+2 X+2  2 X+2  X X+2  0  0  X X+2  2 X+2  X  2  2  2  X X+2  0 X+2  2  X X+2  0  0  2  2 X+2 X+2 X+2  0  0  2 X+2  2  X  X  0  X  2  X  0 X+2
 0  0  0  X  0  0  0  2  2  2  0  0  2  X X+2  X  X  X  X  X  X X+2 X+2 X+2  2  2  2  0 X+2  X X+2  2  2  X  0  2  X  X X+2  X  X  0  0 X+2  0  0 X+2  X  X  X X+2  X
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  0  0  2  0  2  0  0  2  2  2  0  0  2  0  0  2  2  0  0  2  0  2  2  0  0  2  2
 0  0  0  0  0  2  2  2  0  2  2  0  0  0  0  2  0  2  2  0  2  2  0  2  2  2  0  2  0  2  0  2  0  0  0  2  0  2  0  2  2  0  2  2  0  2  2  0  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+254x^46+92x^47+443x^48+228x^49+581x^50+192x^51+621x^52+200x^53+558x^54+220x^55+369x^56+84x^57+136x^58+8x^59+47x^60+30x^62+19x^64+7x^66+4x^68+2x^70

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 7.74 seconds.