The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+215x^42+848x^43+1333x^44+2456x^45+2060x^46+3010x^47+2078x^48+2054x^49+976x^50+864x^51+271x^52+88x^53+72x^54+14x^55+29x^56+10x^57+5x^58

The gray image is a code over GF(2) with n=376, k=14 and d=168.
This code was found by Heurico 1.16 in 1.75 seconds.