The generator matrix

 1  0  1  1  1  4  1 10  1  1  6  1  0  1  1  1  1  1  0  1  1 14  1  6  1  1 12  6  1  1  1 10  1  2  1  6  0  1 10  1  1  4  1  0  8  1  1
 0  1  1  0 11  1 10  1  5 14  1 15  1  4 11 11 13  0  1  2  9  1  5  1  8 10  1  1  3 10  5  1 10  4  8  1  2 10  1  5 15  2  9  1  1 11  0
 0  0  2  6  4  6 14  6  4  8  4  2  4  2  8  6  4  4  6  6  6 12  0  8 12  4 10  2 12  6  2  4  4  2 14  4  0 10  0  6  0 10 10 10  4  4  0
 0  0  0 12  0  4  0  0  4  4  4  4  4  8  4 12  8 12  0  4  0  0  8  8  0  4 12 12  4  0 12 12 12  8 12 12  4 12  8  8  0  4 12  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  0  8  0  8  0  0  0  8  8  8  0  8  8  0  0  8  0  8  8  8  0  8  0  8  0  8  0  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  8  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  0  0  0  0  8  8  0  0  0
 0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  8  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8  8  0

generates a code of length 47 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+30x^38+128x^39+284x^40+700x^41+1410x^42+2742x^43+4513x^44+7724x^45+9144x^46+12068x^47+9162x^48+8096x^49+4515x^50+2572x^51+1322x^52+604x^53+232x^54+148x^55+64x^56+28x^57+26x^58+6x^59+13x^60+2x^62+1x^64+1x^66

The gray image is a code over GF(2) with n=376, k=16 and d=152.
This code was found by Heurico 1.16 in 31.3 seconds.