The generator matrix

 1  0  0  1  1  1 10  2  1  1 10  1  1 10  8  1  4  1  0  1 14  1  8  1  1 12  1  1 12  0  2  8 14  1  1 14  6 12  1  1 12  1  2  8  1  1  1 14  1
 0  1  0  8  5 13  1  1  0 13  1  4  9  2  1  6  1 11 14 14  0  6  1  7 15  1  2  8  1  1  1 12  1  4 10  1  1  1  2  7  1  1  1  1 14  5 11  4  3
 0  0  1 11  3  8 15  6 14  6  5  9  1  1 10 15  1  6  1 14  1  9 12 12  1 11  0  7  5 14  0  1 10  6  9  8  5 15  4 15 14 12  2 13 12  5  7  1  8

generates a code of length 49 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+568x^46+660x^47+784x^48+548x^49+595x^50+300x^51+303x^52+108x^53+127x^54+48x^55+47x^56+5x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=392, k=12 and d=184.
This code was found by Heurico 1.16 in 0.587 seconds.