The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+90x^77+344x^78+522x^79+990x^80+1020x^81+928x^82+776x^83+929x^84+788x^85+761x^86+472x^87+281x^88+128x^89+54x^90+18x^91+36x^92+18x^93+13x^94+2x^95+8x^96+4x^97+4x^98+2x^99+1x^100+1x^108+1x^116

The gray image is a code over GF(2) with n=664, k=13 and d=308.
This code was found by Heurico 1.16 in 1.58 seconds.