The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+444x^46+710x^47+1398x^48+1190x^49+1370x^50+920x^51+936x^52+412x^53+433x^54+206x^55+119x^56+14x^57+24x^58+4x^59+10x^60+1x^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 0.532 seconds.