The generator matrix

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

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+256x^46+380x^47+311x^48+304x^49+224x^50+276x^51+197x^52+60x^53+20x^54+9x^56+4x^57+4x^62+1x^64+1x^68

The gray image is a code over GF(2) with n=392, k=11 and d=184.
This code was found by Heurico 1.16 in 0.078 seconds.