The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+110x^43+803x^44+1552x^45+2877x^46+3908x^47+4747x^48+4936x^49+5044x^50+3686x^51+2584x^52+1434x^53+674x^54+200x^55+116x^56+44x^57+44x^58+5x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=392, k=15 and d=172.
This code was found by Heurico 1.16 in 7.09 seconds.