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

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

Homogenous weight enumerator: w(x)=1x^0+3x^84+54x^85+3x^86+1x^90+2x^93

The gray image is a code over GF(2) with n=672, k=6 and d=336.
This code was found by Heurico 1.16 in 0.383 seconds.