The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+180x^47+566x^48+184x^49+304x^50+116x^51+518x^52+116x^53+24x^55+16x^56+20x^57+1x^64+2x^68

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 0.094 seconds.