The generator matrix

 1  0  0  1  1  1 14  0  1  1  4  0  1  1  1  4  1  1  6  1  2  1  2 14  1  1  1 10  1 14  1  1 14 10  1  1  1  1  1  8  1  1 10  8 12  1  1  8  1  1  6  2  6 14  6  1  4  1  1  4  4  1  1  1  1  1  1  1  1 14 12 12  1  1  1  0  1  1  4  0  1  1 14  8
 0  1  0  0  5 13  1  1  2  7  6  1 12  1  2  1 15 11  4 12  1 11  6  1 14  9 10  1 12  0  5  2  1  1 13  9 14  4  7  6  0 13  1  1  0 15 11  1 10  8  0  1  1  1  1 13  1  8 14  1  8  2  3 14 13 11 14  4  4  1  1  1 11  9 13  1  4 10  4  8  3  7  4  1
 0  0  1 11  7  4  3  3 14  1  1  2  5 10  5  5  6  3  1  6 12  0  1  6 12  9  3  1  3  1  9  2 11  0  3  6 13  8  4  1  1  6  9 15  1 12  3  8  2  6  1  2  7  9  5  4 10 13  5 10  1 12  5  8 11  8  4 14 11 11  9  8 11  4 14  4 14  7  1  1  1  1  1  7
 0  0  0 12  4  0 12  8  4  0  4  4  8 12 12 12  0  4  4  4  8  4  0 12 12  8  0 12  4  0  4  0  8  8 12  0  0  0  8  4 12  0  8 12 12  4  0  4  4 12  8  4  8 12  0 12  0  0 12 12  8  4 12  8  0  8  8  8  8  0  0  8 12  8  8 12  0 12  0 12  8  8  8  0
 0  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  8  8  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  8  8  8  0  8  0  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  8  8  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  0  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+216x^76+656x^77+1742x^78+2752x^79+4190x^80+5228x^81+6918x^82+7552x^83+7585x^84+7556x^85+6750x^86+5312x^87+3879x^88+2348x^89+1432x^90+688x^91+365x^92+140x^93+118x^94+16x^95+38x^96+8x^97+26x^98+14x^100+6x^102

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 55.6 seconds.