The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  0  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1 12  4  2  1  0 12  1  1  1  2  1  1  1  1  1  1  1  0  1  1  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14  4  2  0 10  4 14  8  2 14  4  0 12 10 14 14  0  4 10 10 14 10  4  2  0  8  2  6 12 12  2  2  2 14  4  8 12  0 14 10  8  4  8  0  0  4  4  2  2  6 10  2  2 10  6 10 10 10  6  6  0 14 10 14  2 10  4  8  4  8
 0  0 12  0  4  4  8  4  0  8  0  0  4  4  4 12  8  0  8  0 12  4 12  4  4  4 12  4  0  8  0  8 12 12  8  4 12  4 12  0  4  0  0  0  8  4  8  8  4 12 12 12  4  0  8  0  0  0  4 12  8 12  8  0  8  0  4 12  0  8 12 12 12  0  0 12 12  4  8 12  8 12  4
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  8  0  8  0  8  8  8  0  8  0  0  8  8  0  8  0  8  0  8  0  0  8  0  0  0  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  0  8  8  0  0  0  0  0  0  8  8  0  8  8  8  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  8  0  8  0  0  8  8  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  8  0  0  8  8  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+20x^76+158x^77+108x^78+198x^79+222x^80+444x^81+688x^82+476x^83+679x^84+436x^85+199x^86+184x^87+93x^88+132x^89+23x^90+4x^91+5x^92+6x^93+5x^94+2x^95+4x^96+8x^97+1x^146

The gray image is a code over GF(2) with n=664, k=12 and d=304.
This code was found by Heurico 1.16 in 1.15 seconds.