The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^40+316x^41+686x^42+1434x^43+2574x^44+3778x^45+4854x^46+5364x^47+4957x^48+3858x^49+2475x^50+1256x^51+623x^52+312x^53+94x^54+52x^55+18x^56+6x^57+17x^58+6x^59+5x^60+2x^61+2x^62

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 8.78 seconds.