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  1  1  1  1  2  1  4  1  2  1  1  2  1  1  2  1  1  1  1  2  1  1  1  1 12  4  1  1  2  1  2  2  1  0  2  1  1  1  1  1 12 12  1  4  2  1  1 12 12  2  2  4  1  1
 0  2  0  2  0  0  6 14  4  4 10  6 12  6 10  4  4 12  2  2  4  8  6  0 10 12  6  2 14  0  8  2  4 10  2 12  6  4  4  6 14  4 14  8  8  4 10  8  6 14  6 12  8  8  2 14  0  0  2 10 10  0  8 10  8  0  8 10 10  2  2 10  2  2 12  8  2  4  6  6  2 10 12
 0  0  2  2 12  6  6  4  4  2  6  0  8 10  4 14  4 10  6 10  6  0  0 14  0  8  4 10 10  2 12  4  4 14 12  2  2  2  0 14 12 14  8 14  6  2  4 12  8  2  6 10 14  2 10  2  2 10  6 14 10  4  2  8 10  6  6  0  8  8 14  6 14  0  0  2  0  2 10  2 10  0 12
 0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  0  0  8  0  0  8  8  8  0  8  0  8  8  8  8  8  0  0  8  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  0  8  0  0  8  0  0  8  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8
 0  0  0  0  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  0  0  8  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  8  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  8  8  0  8  8  8  8  8  0  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  0  8  8  8  0  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+100x^76+220x^77+455x^78+464x^79+792x^80+676x^81+1212x^82+778x^83+1102x^84+614x^85+660x^86+276x^87+294x^88+178x^89+145x^90+68x^91+62x^92+38x^93+21x^94+12x^95+17x^96+2x^97+2x^98+2x^99+1x^122

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 2.11 seconds.