The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^43+778x^44+1764x^45+2668x^46+3604x^47+5196x^48+5008x^49+4994x^50+3484x^51+2572x^52+1492x^53+686x^54+236x^55+93x^56+56x^57+26x^58+4x^59+8x^60+2x^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 7.48 seconds.