The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+20x^82+268x^83+21x^84+138x^85+8x^86+40x^87+8x^88+2x^89+2x^90+2x^92+1x^98+1x^118

The gray image is a code over GF(2) with n=672, k=9 and d=328.
This code was found by Heurico 1.16 in 0.328 seconds.