The generator matrix

 1  0  1  1  1 14  1  1  0  1  2  1  1  1  1  8  1  6  1  1  4  1  1 10  1  4 12  1 14  1  1  1  1  8  1  1  1  1  1  1  2  2  1  1  4  0  8
 0  1 11  6  5  1 11  0  1  9  1 14  8  6  3  1 13  1 10  7  1  5 15  1 12  1  1  0  1  8  7  9 10  1  1  4  5  1  3  2  4  6 11  2  2  1  1
 0  0 12  0  0  0  0  4  4  4  4  4  8  4  0  8  4  0  8  8 12  4  0 12 12  0  8  8 12 12  4  8 12  4  4  8  8  4  0  0  8  8 12  4  4  4  4
 0  0  0 12  0  4  4  4 12  4  0  8 12  4  0 12  8  0  0  4  0  4  8  4  4 12  0  0  0  8  8  8 12  0  8 12  8  0  0 12  4 12  0  8  0 12  0
 0  0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  0  8  8  8  8  0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  8  8  8  0  0  8  8  8  0  0  8  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  8  8  0  8  0  0  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+112x^38+40x^39+455x^40+428x^41+1160x^42+2516x^43+4661x^44+7676x^45+9961x^46+11412x^47+10131x^48+7812x^49+4640x^50+2364x^51+1095x^52+468x^53+346x^54+52x^55+149x^56+32x^58+19x^60+5x^62+1x^68

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 34 seconds.