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  1  8  1  1  1 12  2  1  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  5  1 10  0  9  1  1 12 12
 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  4 13  5  1  2  8  3 13 15

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

Homogenous weight enumerator: w(x)=1x^0+540x^46+732x^47+839x^48+416x^49+536x^50+344x^51+336x^52+128x^53+160x^54+44x^55+14x^56+4x^58+1x^60+1x^68

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 269 seconds.