The generator matrix

 1  0  1  1  2  1  1  1 X+2  1  1  X  1  1  2  1  1 2X  1  1  1  1 X+2 2X+2  2 3X  1 2X+2  1  1 3X  1  1  X  1  1  1  1  1  1  1  1 3X+2 3X  1 3X  1 3X+2  2  1
 0  1  1 X+2  1 X+3  2  3  1 3X X+1  1  2 X+3  1 X+2  3  1 X+1  1  2 X+2  1  1  1  1 3X+1  1 3X+1  1  1 2X+1 X+1  1  0 2X+1  1 2X+2 3X+2  2 3X+2 2X+2  1  1 X+3  1 3X  1  1 3X+2
 0  0  X  0 3X  X 3X 2X  0 3X+2 2X  X 3X+2 X+2 3X+2  2 2X+2 2X+2 X+2  2 3X 2X+2 X+2  2 2X  0 2X+2 3X+2 3X  X 3X+2 2X 2X+2  2 2X+2 3X+2 X+2 2X  0 2X+2 3X X+2 3X  2  X  0  0  2 3X 2X+2
 0  0  0 2X  0 2X 2X 2X 2X  0  0 2X 2X 2X  0 2X 2X  0  0  0  0  0  0 2X 2X  0 2X 2X  0 2X 2X  0  0 2X  0 2X  0 2X  0 2X 2X  0  0  0  0 2X  0  0 2X 2X

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+200x^46+260x^47+1078x^48+276x^49+569x^50+276x^51+1014x^52+164x^53+174x^54+32x^55+20x^56+8x^57+9x^58+8x^59+4x^60+1x^64+2x^68

The gray image is a code over GF(2) with n=400, k=12 and d=184.
This code was found by Heurico 1.16 in 0.234 seconds.