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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+186x^84+8x^86+42x^88+8x^90+10x^92+1x^112

The gray image is a code over GF(2) with n=680, k=8 and d=336.
This code was found by Heurico 1.16 in 2.4 seconds.