The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 X X X X 1 1 1 X^2 1 0 X^2 2 X X X X^2 X 1 X X 1 1 1 X^2 1 1 1 1
0 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 X^2 X^2+2 X^2 0 X^2+2 2 X^2 X^2+2 X^2 0 2 0 2 X^2+2 X^2+2 X^2 X^2 X^2 X^2 0 2 X^2+2 2 X^2 0 2 0 2 X^2+2 X^2 0 0 2 X^2+2 X^2
generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 50.
Homogenous weight enumerator: w(x)=1x^0+48x^50+12x^52+2x^56+1x^64
The gray image is a code over GF(2) with n=400, k=6 and d=200.
This code was found by Heurico 1.16 in 0.062 seconds.