The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+92x^40+288x^41+826x^42+1300x^43+2425x^44+3752x^45+4912x^46+5788x^47+4836x^48+3632x^49+2478x^50+1324x^51+592x^52+264x^53+158x^54+36x^55+38x^56+8x^58+15x^60+2x^62+1x^64

The gray image is a code over GF(2) with n=376, k=15 and d=160.
This code was found by Heurico 1.16 in 8.64 seconds.