The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+246x^79+580x^80+722x^81+632x^82+492x^83+300x^84+316x^85+232x^86+186x^87+140x^88+90x^89+77x^90+44x^91+18x^92+16x^93+2x^94+1x^96+1x^106

The gray image is a code over GF(2) with n=664, k=12 and d=316.
This code was found by Heurico 1.16 in 0.437 seconds.