The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+209x^76+760x^77+1496x^78+1974x^79+3182x^80+3396x^81+4034x^82+3548x^83+4004x^84+3064x^85+2789x^86+1656x^87+1044x^88+678x^89+504x^90+230x^91+95x^92+36x^93+27x^94+14x^95+9x^96+2x^97+13x^98+2x^99+1x^106

The gray image is a code over GF(2) with n=664, k=15 and d=304.
This code was found by Heurico 1.16 in 14 seconds.