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

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

Homogenous weight enumerator: w(x)=1x^0+35x^84+12x^85+2x^86+7x^88+4x^89+2x^90+1x^92

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 0.32 seconds.