The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+107x^40+158x^41+333x^42+538x^43+1050x^44+2376x^45+4529x^46+7686x^47+10431x^48+11336x^49+10226x^50+7610x^51+4645x^52+2384x^53+1037x^54+502x^55+268x^56+114x^57+93x^58+44x^59+41x^60+16x^61+5x^62+4x^63+1x^64+1x^70

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 37.1 seconds.