The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+26x^46+348x^47+36x^48+200x^49+36x^50+348x^51+26x^52+1x^64+2x^66

The gray image is a code over GF(2) with n=392, k=10 and d=184.
This code was found by Heurico 1.16 in 0.047 seconds.