The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  2  1  1  2  1  1  8  1  2  2  1 12  1  1 12  1  0  2  1  1  1  0  0  4
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  4 10 12  0  4 14 14 10 14  8  2 14 10  6  4  8 12  6  2 10  2 14 14  4 10  8  2  4
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  4 10  2  2 14  8 12 14  6 14 12 14  8  8  2  0  0 14  0 12  8  2  6 10  4 14  2
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10 14  0  8 14  0  2  8  2  8  0  2  0  0  0  6  4  4  4  6 10 14 14  8 12 12  2  8 14

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

Homogenous weight enumerator: w(x)=1x^0+436x^42+192x^43+951x^44+588x^45+1534x^46+1056x^47+1490x^48+528x^49+714x^50+152x^51+316x^52+36x^53+162x^54+8x^55+25x^56+2x^58+1x^68

The gray image is a code over GF(2) with n=376, k=13 and d=168.
This code was found by Heurico 1.16 in 20.2 seconds.