The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+38x^46+244x^47+147x^48+208x^49+116x^50+196x^51+44x^52+24x^53+4x^54+1x^62+1x^78

The gray image is a code over GF(2) with n=392, k=10 and d=184.
This code was found by Heurico 1.16 in 0.078 seconds.