The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^39+127x^40+264x^41+453x^42+1492x^43+2020x^44+4586x^45+4091x^46+6724x^47+4092x^48+4622x^49+1980x^50+1408x^51+376x^52+230x^53+100x^54+60x^55+35x^56+26x^57+31x^58+4x^59+4x^60+1x^62+1x^64

The gray image is a code over GF(2) with n=376, k=15 and d=156.
This code was found by Heurico 1.16 in 9.2 seconds.