The generator matrix

 1  0  1  1  1 12  1  1  2  1  1  6 10  1  1  1 12  1  1  1  2  4  1 14  1  1  1  8  1  8  2  0  1  1  0  1  1  1  8  1  0  4 14  1  1  1  1
 0  1  1 12 11  1  2  7  1  5 14  1  1  7  0  4  1 13 10  5  1  1  3  1  4  6 15  1 13  1  1  0  6 11  0 13  3  9  1  2  2  1  1  1 14  0  0
 0  0  2  6  4  6  2 14 10  0  4  0  6  2  6  4  0  4 14  6 12  2  0  2  2  0  8  2  2  4  4  2 14 10  2 12  8  8 10  2  6  8 10 12 12  8  0
 0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  8  0  8  8  0  0  8  0  8  0  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  0  8  0  8  0  8  8  0  0  8  0  8  0  0  8  8  8  8  8  8  0  8  0  0  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  8  8  0  8  0  8  8  8  8  8  0  8  8  0  0  0  0  8  0  0  0  0  8  0  8  0  8  0  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  8  8  8  0  8  8  0  8  8  8  8  8  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  0  8  0  0  8  8  0  8  8  8  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+48x^38+98x^39+293x^40+508x^41+1531x^42+2356x^43+4525x^44+7784x^45+10038x^46+11408x^47+9969x^48+7600x^49+4480x^50+2404x^51+1532x^52+472x^53+262x^54+110x^55+57x^56+20x^57+21x^58+8x^59+7x^60+4x^62

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.