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 X^2  0  1  1  1  1
 0  X X^2+2 X^2+X  0 X^2+X X^2+2 X+2 X^2+X  0 X+2 X^2+2 X+2  2 X^2+X+2 X^2 X^2+X  0 X^2+2 X+2 X^2+X  0 X^2+2 X^2+X+2 X+2 X+2  0 X^2+2 X^2+X  0 X^2+2  X  2  2 X^2 X^2+X X^2+X+2 X^2  X X+2  X X+2 X+2  X X^2+2 X^2  2  0  2  0
 0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  2  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  2  2  0  0  2  0  2  2  0  0  2  0  0  2  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  2  0  2  2  2  0  0  0  0  2  0  0  2  2  0  0  2  0  2  2  2  0  0
 0  0  0  0  2  0  2  2  2  0  0  2  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  0  2  0  0  0  0  2  0  2  0  2
 0  0  0  0  0  2  0  2  2  2  2  2  0  2  0  2  0  0  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  0  0  0  0  0  2  2  0  2  0  2  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+208x^46+158x^48+512x^49+352x^50+512x^51+64x^52+208x^54+32x^56+1x^96

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 0.719 seconds.