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  2  8  2  8  2  0  2  0  2  2  2 12  2  2  2  2  4  4  2  8  2  4  2  2  0  0  2 12  2  2 12 12  1  1  1  1  2  8  2  4  1  1  1  1  1  1  4  4  0  8  0  4
 0  2  0 14  4  6 12  2  0 14  0  6  4  2 12  2  8 14  8  6  8 14  8  6 12 10  4 10 12 10  4 10  6  2  6  2 14  2 14  2  8  4  2  2  0 12 10 10  2  2  6  2 10  2 14 14  2  2  2  2  2  2  2  2  0 12  0 12  6  2 10  2  8  4  8  4  8  4  8  4  4  4  0  0
 0  0 12  4  4  8  8 12  8 12  4  0 12  4  0  8  8  8  4 12  0  0 12  4 12 12  8  0  4  4  0  8  0  4  8 12  4  0 12  8  4  4  4  0  4  4  0  8  4 12  4  8  4  0  8  0 12  4 12  8  8  0 12  4  0  0  8  8 12  0 12  8  8  8  0  0  4  4  4  4  8 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+100x^82+128x^83+155x^84+52x^86+64x^87+8x^90+3x^96+1x^116

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 0.562 seconds.