The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+258x^47+374x^48+394x^49+214x^50+262x^51+238x^52+158x^53+56x^54+68x^55+11x^56+8x^57+4x^59+2x^66

The gray image is a code over GF(2) with n=400, k=11 and d=188.
This code was found by Heurico 1.16 in 0.093 seconds.