The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^40+452x^41+1358x^42+2932x^43+4854x^44+7648x^45+9586x^46+11616x^47+9592x^48+7988x^49+4708x^50+2628x^51+1193x^52+488x^53+234x^54+40x^55+43x^56+18x^58+9x^60

The gray image is a code over GF(2) with n=376, k=16 and d=160.
This code was found by Heurico 1.16 in 26.2 seconds.