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  0  0 X^2 X^2+2 X^2  0  2 X^2 X^2+2  2  2 X^2 X^2 X^2  0 X^2+2  2  2 X^2+2 X^2  2  2 X^2  0  0  0 X^2+2 X^2 X^2+2  0 X^2+2  2  0 X^2+2  2  0 X^2+2 X^2+2  0 X^2+2 X^2+2  2  0  2  0 X^2 X^2
 0  0 X^2+2  0 X^2 X^2 X^2+2  0  0 X^2+2 X^2+2  2  0 X^2 X^2  2 X^2+2  2 X^2+2  2 X^2  0  2 X^2  0 X^2  2 X^2 X^2  0  2 X^2  2  2 X^2+2  2 X^2  2 X^2+2 X^2  0 X^2+2 X^2+2  2  0  0 X^2+2 X^2+2 X^2+2 X^2+2
 0  0  0 X^2+2 X^2  0 X^2+2 X^2  2 X^2 X^2  0 X^2  2  2 X^2+2 X^2+2  2  2 X^2+2 X^2 X^2+2  0  0  0 X^2 X^2+2 X^2+2  2 X^2  2  2  0 X^2  0 X^2 X^2  0 X^2  0  2 X^2+2  0  2 X^2+2 X^2  2  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+13x^46+40x^47+27x^48+24x^49+814x^50+24x^51+27x^52+40x^53+13x^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 0.094 seconds.