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

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

Homogenous weight enumerator: w(x)=1x^0+116x^84+2x^88+8x^92+1x^96

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 0.441 seconds.