The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+193x^76+742x^77+1489x^78+2274x^79+2837x^80+3612x^81+3675x^82+3944x^83+3460x^84+3594x^85+2506x^86+1762x^87+1178x^88+732x^89+385x^90+160x^91+96x^92+48x^93+35x^94+18x^95+6x^96+6x^97+6x^98+5x^100+2x^103+2x^105

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 14.2 seconds.