The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+223x^44+284x^45+812x^46+800x^47+1446x^48+1160x^49+1402x^50+800x^51+752x^52+284x^53+174x^54+17x^56+22x^58+5x^60+6x^62+3x^64+1x^72

The gray image is a code over GF(2) with n=392, k=13 and d=176.
This code was found by Heurico 1.16 in 0.93 seconds.