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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+418x^76+136x^77+806x^78+496x^79+1213x^80+656x^81+1124x^82+728x^83+985x^84+388x^85+526x^86+104x^87+285x^88+32x^89+184x^90+16x^91+68x^92+4x^93+16x^94+5x^96+1x^124

The gray image is a code over GF(2) with n=656, k=13 and d=304.
This code was found by Heurico 1.16 in 44.7 seconds.