The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+17x^38+58x^39+144x^40+262x^41+542x^42+1486x^43+1746x^44+4856x^45+3625x^46+7160x^47+3792x^48+4884x^49+1828x^50+1484x^51+424x^52+216x^53+115x^54+42x^55+28x^56+22x^57+14x^58+6x^59+6x^60+3x^62+4x^63+3x^64

The gray image is a code over GF(2) with n=376, k=15 and d=152.
This code was found by Heurico 1.16 in 8.82 seconds.