The generator matrix

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

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+48x^46+272x^47+240x^48+304x^49+324x^50+304x^51+233x^52+272x^53+44x^54+2x^56+2x^60+1x^72+1x^76

The gray image is a code over GF(2) with n=400, k=11 and d=184.
This code was found by Heurico 1.16 in 0.125 seconds.