The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+327x^46+938x^47+1249x^48+1328x^49+1222x^50+1020x^51+818x^52+532x^53+356x^54+214x^55+102x^56+60x^57+14x^58+4x^59+6x^60+1x^62

The gray image is a code over GF(2) with n=400, k=13 and d=184.
This code was found by Heurico 1.16 in 0.5 seconds.