The generator matrix

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

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+50x^46+48x^47+90x^48+160x^49+60x^50+48x^51+34x^52+18x^54+2x^60+1x^64

The gray image is a code over GF(2) with n=392, k=9 and d=184.
This code was found by Heurico 1.16 in 0.078 seconds.