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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+78x^43+47x^44+184x^45+416x^46+172x^47+46x^48+72x^49+6x^51+1x^52+1x^88

The gray image is a code over GF(2) with n=368, k=10 and d=172.
This code was found by Heurico 1.16 in 0.115 seconds.