The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+139x^78+332x^79+488x^80+418x^81+559x^82+362x^83+488x^84+404x^85+494x^86+184x^87+105x^88+74x^89+19x^90+10x^91+4x^92+3x^94+8x^95+2x^100+2x^118

The gray image is a code over GF(2) with n=664, k=12 and d=312.
This code was found by Heurico 1.16 in 0.76 seconds.