The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+202x^43+1263x^44+3174x^45+6222x^46+10306x^47+14754x^48+19210x^49+20304x^50+19878x^51+15335x^52+10022x^53+5920x^54+2734x^55+1081x^56+478x^57+128x^58+24x^59+14x^60+12x^61+2x^62+8x^63

The gray image is a code over GF(2) with n=400, k=17 and d=172.
This code was found by Heurico 1.16 in 104 seconds.