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 2X+2  0  0  0  2 2X+2  2  0 2X  2 2X+2 2X 2X  2  2  2  0 2X+2 2X 2X 2X+2  2 2X 2X  2  0  0  0 2X+2  2 2X+2  0 2X+2 2X  0 2X+2 2X  0 2X+2 2X+2  0 2X+2 2X+2 2X  0 2X  0  2  2
 0  0 2X+2  0  2  2 2X+2  0  0 2X+2 2X+2 2X  0  2  2 2X 2X+2 2X 2X+2 2X  2  0 2X  2  0  2 2X  2  2  0 2X  2 2X 2X 2X+2 2X  2 2X 2X+2  2  0 2X+2 2X+2 2X  0  0 2X+2 2X+2 2X+2 2X+2
 0  0  0 2X+2  2  0 2X+2  2 2X  2  2  0  2 2X 2X 2X+2 2X+2 2X 2X 2X+2  2 2X+2  0  0  0  2 2X+2 2X+2 2X  2 2X 2X  0  2  0  2  2  0  2  0 2X 2X+2  0 2X 2X+2  2 2X 2X 2X  0

generates a code of length 50 over Z4[X]/(X^2+2) 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 0.093 seconds.