The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+440x^76+1820x^77+3188x^78+4356x^79+5735x^80+6244x^81+7680x^82+7404x^83+7542x^84+6388x^85+5510x^86+3916x^87+2416x^88+1420x^89+780x^90+348x^91+162x^92+88x^93+74x^94+8x^95+8x^96+8x^97

The gray image is a code over GF(2) with n=664, k=16 and d=304.
This code was found by Heurico 1.16 in 46.4 seconds.