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

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+180x^46+56x^47+268x^48+336x^49+456x^50+320x^51+202x^52+48x^53+92x^54+8x^55+71x^56+8x^58+1x^60+1x^84

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 1.48 seconds.