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

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

Homogenous weight enumerator: w(x)=1x^0+78x^46+100x^47+245x^48+192x^49+238x^50+88x^51+72x^52+2x^54+4x^55+2x^56+1x^58+1x^90

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 0.11 seconds.