The generator matrix

 1  0  0  0  1  1  1  2  2  2  1  1  1  1  2  0  1 X+2  X  1  1  X  1  1  1  1 X+2  2  1  1  1  0  X X+2  1  1 X+2  1  2 X+2  1  2  0  1  1  1  1  2  1  1  1  1
 0  1  0  0  0  0  2  1  1  1  1 X+1  1 X+3  2  X  2  X  1  0  X  1  1  3  X X+3  2  1  2 X+3  0  1  X  0  X  3 X+2 X+2  1  1 X+3  1  1  3 X+1 X+3 X+2  2  X  1  X  X
 0  0  1  0  0  3  1 X+3  2  1  1  2 X+1 X+2  1 X+2  3  1  2 X+3 X+2 X+3 X+1  X X+3 X+1  1 X+2  X X+3  2  3  1  1  0 X+1  2  3 X+3  1 X+2  2  3 X+3  0 X+3  3  1 X+2  3 X+1  1
 0  0  0  1 X+1 X+3  0  2  1 X+3 X+2 X+2  3 X+3  3  1  3  X  0 X+2  0 X+2 X+1  3  0  1 X+3  1 X+2  X X+3  1  2  3 X+1  X  1  3  X  2 X+1 X+2  3  0  X X+3 X+2  1 X+3  2  1  1
 0  0  0  0  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  0  0  2  0  0  2  0  0  0  2  2  0  0  2  2  0  0  2  0  2  2  0  0  2  2  2  0  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+590x^46+1294x^48+1503x^50+1638x^52+1399x^54+1092x^56+463x^58+158x^60+43x^62+9x^64+2x^66

The gray image is a code over GF(2) with n=208, k=13 and d=92.
This code was found by Heurico 1.13 in 466 seconds.