The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+128x^41+647x^42+1866x^43+2221x^44+4168x^45+4338x^46+6072x^47+4727x^48+3986x^49+2003x^50+1650x^51+555x^52+248x^53+76x^54+44x^55+14x^56+10x^57+8x^58+2x^60+4x^61

The gray image is a code over GF(2) with n=376, k=15 and d=164.
This code was found by Heurico 1.16 in 6.92 seconds.