The generator matrix

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

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+180x^46+56x^47+268x^48+336x^49+456x^50+320x^51+202x^52+48x^53+92x^54+8x^55+71x^56+8x^58+1x^60+1x^84

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 1.47 seconds.