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

generates a code of length 50 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+111x^48+128x^49+116x^50+32x^51+67x^52+32x^53+12x^54+12x^56+1x^68

The gray image is a code over GF(2) with n=400, k=9 and d=192.
This code was found by Heurico 1.16 in 0.094 seconds.