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  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
 0 X^2+2  0 X^2+2  0 X^2+2  0 X^2+2 X^2+2  0 X^2+2  0 X^2  2 X^2  2  0 X^2+2  2 X^2 X^2+2  0  2 X^2  0 X^2+2  0 X^2+2  2 X^2  2 X^2  0 X^2+2  0  2  2 X^2+2 X^2 X^2  0  2  0  2  2 X^2+2 X^2+2 X^2 X^2  2
 0  0  2  0  0  0  2  0  2  0  2  0  0  2  0  2  0  0  0  2  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  2  2  0  2  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0
 0  0  0  0  2  0  2  2  2  0  0  2  2  0  2  2  2  2  0  2  0  0  2  0  2  0  2  2  0  0  0  2  0  2  0  2  2  2  0  0  0  0  2  0  2  0  0  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  0  2  0  2  0  2  0  2  0  0  2  0  0  0  0  2  0  2  0  0  2  0  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+32x^46+47x^48+864x^50+47x^52+32x^54+1x^100

The gray image is a code over GF(2) with n=400, k=10 and d=184.
This code was found by Heurico 1.16 in 0.11 seconds.