The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+78x^75+392x^76+772x^77+1375x^78+1872x^79+3245x^80+2978x^81+4212x^82+3402x^83+4144x^84+3018x^85+3056x^86+1592x^87+1229x^88+564x^89+337x^90+188x^91+138x^92+78x^93+36x^94+36x^95+2x^96+14x^97+4x^98+3x^102+1x^106+1x^112

The gray image is a code over GF(2) with n=664, k=15 and d=300.
This code was found by Heurico 1.16 in 17.4 seconds.