The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+74x^47+214x^48+286x^49+255x^50+228x^51+180x^52+182x^53+172x^54+102x^55+123x^56+74x^57+41x^58+56x^59+26x^60+18x^61+10x^62+4x^63+2x^66

The gray image is a code over GF(2) with n=208, k=11 and d=94.
This code was found by Heurico 1.11 in 0.105 seconds.