The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^41+796x^42+2644x^43+5500x^44+11628x^45+19480x^46+30682x^47+37251x^48+44166x^49+39484x^50+31394x^51+18888x^52+11432x^53+5082x^54+2264x^55+912x^56+278x^57+84x^58+22x^59+8x^60+16x^61+2x^62+2x^63

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 383 seconds.