The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  0  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  2  1 12  1  1  2  1  4  1  1 12  4  1  4  1  1  0  1  2  8  4  4  2  4  1  1  2  1  1 12  1  1  1  8  1  1
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  4  6  4 14 12  2  6  0  0  2  2 12  8  6 14  2 10  4  4  0  4  0  6  0 10 10 14  4 10  8 14  6  0  2  2 14  0 14  2  8  0  2  2 10 12  6 12  2 12 14  8  2 12  2  4  2 10 12  8 12  2  0  6 10  2  6  8
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  4 10 10  4  4  8  6  6 10  8 14  8 14 14  8  0 14  4  2 14 10 12  0 10  2  8  6  8  8 14  6  2 12 14  6  4  2 10 14  4  4  8  8  8  2 10  8  8 12 14  2  4  2 10  2 10  4  2  0 14  2  8 10 10  8  0  0
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  8  4  8  0 12 12  0  8  4  0 12  0  4  8  4  0  8 12  0 12 12  0  8  0  0  8  4  4  0  4 12 12  4  8  0  0  4  0 12 12  4  8 12  4  8  0  8 12  0 12  8  8  4  8  4  4  0  4 12 12  4  8 12  0  4  0 12
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  8  0  8  0  8  8  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  0  8  0  0  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  0  8  0  8  8

generates a code of length 83 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+95x^76+286x^77+348x^78+476x^79+720x^80+850x^81+982x^82+1036x^83+947x^84+772x^85+559x^86+366x^87+235x^88+170x^89+107x^90+86x^91+63x^92+34x^93+17x^94+16x^95+16x^96+3x^98+2x^99+2x^100+2x^103+1x^124

The gray image is a code over GF(2) with n=664, k=13 and d=304.
This code was found by Heurico 1.16 in 2.25 seconds.