The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  2  1  4  1  1  8  1  0  1  8  1  1  4  2  1  0  2  0  1  1  0  2  1  1  0  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  8  4  2 10  6  2 14  2  6  2  4  6  0  4  2 12  0 12 14  2 14  8  2  0  0 10  0  2 12 14  4  2  4
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  0 10 10 12  0 12 14  2 12  6  0  6  2 14  4  8  2 14  0 14  8  6  8  2  2  0 14  6 10  4  0  2  4
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  4 12 12  0  0  8 12  8  0  4  4  0 12  0 12  8  8  8  4 12 12  4  0  4  8 12  0  0 12  4  0  4  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  0  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  8

generates a code of length 49 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+66x^43+322x^44+426x^45+754x^46+892x^47+1009x^48+1416x^49+1024x^50+878x^51+633x^52+274x^53+258x^54+80x^55+80x^56+52x^57+12x^58+4x^59+8x^61+2x^64+1x^68

The gray image is a code over GF(2) with n=392, k=13 and d=172.
This code was found by Heurico 1.16 in 0.99 seconds.