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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+78x^76+310x^77+346x^78+574x^79+635x^80+918x^81+926x^82+966x^83+896x^84+860x^85+504x^86+364x^87+272x^88+154x^89+134x^90+118x^91+38x^92+58x^93+9x^94+26x^95+4x^97+1x^126

The gray image is a code over GF(2) with n=664, k=13 and d=304.
This code was found by Heurico 1.16 in 1.72 seconds.