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  2  2  1  1  1  1  2  2  1  1  1  1  1  2  1  2  2  2  1  1  4  2  2  0  4  8  2  2  1  1  2  2  1  4  1  4  0  4  2  2  8  2  2  8  1  4  4  0  2  1  2  1  1  4  8  4  4  4  4
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8 12  4  0 12  8  0  8  4 12  4 12  0  8  4  4  4 12  4  0  8  0  8 12  8  4 12  4  4  0  8  4 12  4  8  0  0  8  8  8 12  0  8  4  0  0 12  4  8  0

generates a code of length 83 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+58x^84+5x^88

The gray image is a code over GF(2) with n=664, k=6 and d=336.
This code was found by Heurico 1.16 in 0.441 seconds.