The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+160x^76+960x^77+1592x^78+3044x^79+3562x^80+5974x^81+5829x^82+8572x^83+6852x^84+8430x^85+5923x^86+5720x^87+3277x^88+2720x^89+1198x^90+860x^91+374x^92+236x^93+131x^94+70x^95+14x^96+14x^97+15x^98+4x^99+2x^103+2x^109

The gray image is a code over GF(2) with n=672, k=16 and d=304.
This code was found by Heurico 1.16 in 53.5 seconds.