The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^40+180x^41+233x^42+654x^43+636x^44+1904x^45+1590x^46+4458x^47+3674x^48+6128x^49+3650x^50+4460x^51+1566x^52+1864x^53+588x^54+628x^55+195x^56+156x^57+67x^58+38x^59+22x^60+8x^61+12x^62+2x^63+1x^64+2x^66+2x^70

The gray image is a code over GF(2) with n=392, k=15 and d=160.
This code was found by Heurico 1.16 in 13.2 seconds.