The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+382x^46+1002x^47+1034x^48+1402x^49+1112x^50+1196x^51+699x^52+628x^53+364x^54+218x^55+97x^56+34x^57+12x^58+9x^60+2x^62

The gray image is a code over GF(2) with n=400, k=13 and d=184.
This code was found by Heurico 1.16 in 0.563 seconds.