The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+545x^80+280x^81+762x^82+288x^83+665x^84+232x^85+596x^86+144x^87+339x^88+60x^89+110x^90+16x^91+33x^92+8x^96+4x^97+4x^98+6x^100+2x^104+1x^112

The gray image is a code over GF(2) with n=672, k=12 and d=320.
This code was found by Heurico 1.16 in 3.39 seconds.