The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+75x^42+164x^43+317x^44+662x^45+1188x^46+2478x^47+3780x^48+4844x^49+5746x^50+5132x^51+3659x^52+2264x^53+1266x^54+624x^55+241x^56+148x^57+63x^58+48x^59+30x^60+18x^61+14x^62+2x^63+2x^64+2x^68

The gray image is a code over GF(2) with n=400, k=15 and d=168.
This code was found by Heurico 1.16 in 10.1 seconds.