The generator matrix

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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+378x^46+128x^47+726x^48+384x^49+894x^50+384x^51+703x^52+128x^53+348x^54+8x^56+6x^58+6x^62+1x^72+1x^76

The gray image is a code over GF(2) with n=400, k=12 and d=184.
This code was found by Heurico 1.16 in 6.13 seconds.