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  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 12  8  4  1  1  1 12  2  1  1 12  1  2  1  1  4  4  8  0  2
 0  2  0  2  0  8 10  2  4  6  4 14 12  4  6  6  0 10  0 14  4 12 14  2  2 12 14 12  8  2  8  6  0 14 10  4 12  0 14 14  0  2  2 12 10  4  8  8  6 14 10 14  0 12  6  2  8  0  2 10 12  4  4 14  6  2  2  2 12 12 12  2  2 14  6  2 12  2 14  6  2  2  2  2  0
 0  0  2  2 12 14  6  4  4 14  2  0  8 14 10  4  0 10  6  4 12 14  6  0  6 10  8  0  4 10  2  8  0  2 12 14 12  2 12 14  0  0  4  2  6  2  4  6  2  4  8 14 10  4  2 10 14 12 12 14 14  0  8  0  0  8 12  4 10 14  6  8  4  8  8  0  2 12 12 12  2 10  2 10  0
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  8  0
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  0  8  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  0  8  0  0  8  0  0  0  0  8  8  0  0  0

generates a code of length 85 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+325x^80+320x^81+400x^82+192x^83+620x^84+512x^85+496x^86+192x^87+420x^88+320x^89+248x^90+20x^92+21x^96+8x^98+1x^144

The gray image is a code over GF(2) with n=680, k=12 and d=320.
This code was found by Heurico 1.16 in 85.6 seconds.