The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+122x^41+734x^42+2608x^43+5801x^44+11186x^45+20353x^46+29206x^47+39292x^48+41976x^49+40887x^50+29964x^51+20745x^52+10840x^53+4819x^54+2268x^55+865x^56+286x^57+115x^58+44x^59+14x^60+6x^61+4x^62+6x^63+2x^64

The gray image is a code over GF(2) with n=392, k=18 and d=164.
This code was found by Heurico 1.16 in 395 seconds.