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  1  2  2  2  2  2  2  1  1  1  1  1  1  2  2  2  2  1  2  2  2  1  1  1  1  1  4  4  4  4  4  4  4  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1
 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  0  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  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  0  0  8  8  8  8  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  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  0  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  0  8  8  0  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+34x^84+72x^85+4x^86+6x^87+1x^88+3x^90+4x^92+2x^103+1x^106

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 0.336 seconds.