The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^78+490x^79+409x^80+476x^81+436x^82+510x^83+323x^84+470x^85+317x^86+338x^87+105x^88+58x^89+18x^90+12x^91+4x^92+8x^94+10x^95+5x^96+4x^97+4x^98+1x^108+1x^110

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 0.754 seconds.