The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^40+538x^41+1467x^42+2958x^43+5110x^44+7652x^45+9397x^46+10946x^47+9956x^48+7896x^49+4716x^50+2716x^51+1300x^52+460x^53+217x^54+98x^55+24x^56+14x^57+11x^58+2x^59+2x^64

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 25.6 seconds.