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

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

Homogenous weight enumerator: w(x)=1x^0+6x^84+100x^85+6x^86+1x^88+10x^89+1x^90+2x^97+1x^98

The gray image is a code over GF(2) with n=680, k=7 and d=336.
This code was found by Heurico 1.16 in 0.538 seconds.