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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+23x^80+84x^81+254x^82+140x^83+103x^84+48x^85+288x^86+16x^87+16x^88+28x^89+16x^90+4x^91+1x^98+1x^100+1x^130

The gray image is a code over GF(2) with n=672, k=10 and d=320.
This code was found by Heurico 1.16 in 0.548 seconds.