The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^75+884x^76+1654x^77+2977x^78+3548x^79+5725x^80+6316x^81+7925x^82+7572x^83+8310x^84+6066x^85+5673x^86+3414x^87+2480x^88+1266x^89+785x^90+380x^91+232x^92+72x^93+58x^94+28x^95+14x^96+18x^97+6x^98+2x^100+2x^103

The gray image is a code over GF(2) with n=664, k=16 and d=300.
This code was found by Heurico 1.16 in 52.7 seconds.