The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+110x^41+306x^42+620x^43+854x^44+1600x^45+2263x^46+3666x^47+4319x^48+5362x^49+4242x^50+3882x^51+2240x^52+1454x^53+810x^54+550x^55+223x^56+104x^57+80x^58+50x^59+9x^60+10x^61+11x^62+1x^64+1x^68

The gray image is a code over GF(2) with n=392, k=15 and d=164.
This code was found by Heurico 1.16 in 20.4 seconds.