The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+92x^42+790x^43+2965x^44+5736x^45+11945x^46+19242x^47+30255x^48+37474x^49+43339x^50+39086x^51+31918x^52+18932x^53+11345x^54+5192x^55+2414x^56+920x^57+341x^58+98x^59+29x^60+4x^61+10x^62+6x^63+2x^64+6x^65+2x^67

The gray image is a code over GF(2) with n=400, k=18 and d=168.
This code was found by Heurico 1.16 in 401 seconds.