The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+202x^40+144x^41+826x^42+876x^43+1975x^44+2852x^45+5162x^46+6832x^47+9221x^48+9324x^49+9150x^50+6788x^51+5414x^52+2992x^53+2008x^54+712x^55+588x^56+172x^57+178x^58+24x^59+67x^60+4x^61+14x^62+4x^64+6x^66

The gray image is a code over GF(2) with n=392, k=16 and d=160.
This code was found by Heurico 1.16 in 64.5 seconds.