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  X  X
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  2  2  2  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  0  0  2  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  2  2  0  2  0  2  0  2  0  0  2  2  2  0  2  2  2  2  0  0  0  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  0  0  2  2  2  0  0  0  0  2  2  2  2  2  0  2  0  0  2  0  2  2  2  0  2  0  2  2  2  0  0  0  2  2  0  2  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  2  2  2  2  2  0  2  0  0  2  0  0  2  0  2  2  0  2  2
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  2  0  2  2  0  2  2  2  0  0  2  0  2  0  0  2  2  0  0  2  2  0
 0  0  0  0  0  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  0  2  0  2  0  2  0  2  2  0  2  2  0  0  2  0  2  2  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+32x^46+78x^48+832x^50+32x^52+32x^54+16x^56+1x^96

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 0.125 seconds.