The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+56x^39+335x^40+838x^41+1578x^42+2888x^43+4786x^44+7238x^45+9631x^46+10738x^47+9806x^48+7320x^49+4855x^50+2826x^51+1387x^52+712x^53+301x^54+126x^55+62x^56+18x^57+19x^58+6x^59+7x^60+2x^61

The gray image is a code over GF(2) with n=376, k=16 and d=156.
This code was found by Heurico 1.16 in 31.7 seconds.