The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^75+490x^76+932x^77+1273x^78+2056x^79+2533x^80+3568x^81+3738x^82+4002x^83+3627x^84+3154x^85+2590x^86+1938x^87+1057x^88+750x^89+395x^90+276x^91+86x^92+56x^93+63x^94+16x^95+8x^96+14x^97+2x^98+4x^99+5x^100+6x^101+2x^102+2x^103+1x^104+1x^106

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 19.1 seconds.