The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+233x^42+1192x^43+3063x^44+6346x^45+9342x^46+15426x^47+18826x^48+22256x^49+18512x^50+16010x^51+9686x^52+5868x^53+2634x^54+1090x^55+365x^56+152x^57+47x^58+6x^59+10x^60+2x^61+4x^63+1x^68

The gray image is a code over GF(2) with n=392, k=17 and d=168.
This code was found by Heurico 1.16 in 102 seconds.