The generator matrix

 1  0  1  1  1 X^2+X  1  1  2  1  1 X^2+X+2  1 X^2+2  1  1  X  1  1  1  2  X  1  1 X^2 X+2  2 X^2+X  X X^2+2 X^2+X+2  2 X^2+X+2  0  1  1  1  1 X+2  1  1 X^2  0 X^2  X  1  1  1 X^2+X+2  1
 0  1 X+1 X^2+X X^2+1  1  3  2  1 X^2+X+1 X^2+X+2  1 X^2  1 X^2+3 X+2  1 X+1  1 X^2+2  1  1 X^2+X+3  X  1  1  1  1  1  1  1  1  1  1  0 X^2+X+1 X^2 X+1  1  X  3  1  1  1  1 X+3 X^2+1 X^2+1  1  0
 0  0 X^2  0  2  0  2 X^2 X^2 X^2+2 X^2+2 X^2+2 X^2  0 X^2+2  2 X^2  0 X^2  2  2 X^2+2  0 X^2+2 X^2  2 X^2  0  2  2 X^2+2 X^2+2  2 X^2+2  0 X^2+2 X^2+2  2  0 X^2  0 X^2+2  0  0 X^2  2 X^2 X^2  0  2
 0  0  0  2  2  2  0  2  0  2  0  2  0  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  0  2  0  2  0  0  2  0  2  0  2  0  2  2  2  0  2  2  2  0  2  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+48x^46+272x^47+240x^48+304x^49+324x^50+304x^51+233x^52+272x^53+44x^54+2x^56+2x^60+1x^72+1x^76

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 0.125 seconds.