The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+138x^79+845x^80+820x^81+1244x^82+1020x^83+1103x^84+744x^85+716x^86+330x^87+431x^88+220x^89+253x^90+160x^91+94x^92+24x^93+38x^94+5x^96+5x^98+1x^100

The gray image is a code over GF(2) with n=672, k=13 and d=316.
This code was found by Heurico 1.16 in 1.14 seconds.