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

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

Homogenous weight enumerator: w(x)=1x^0+114x^84+9x^88+2x^92+1x^96+1x^104

The gray image is a code over GF(2) with n=672, k=7 and d=336.
This code was found by Heurico 1.16 in 0.38 seconds.