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

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

Homogenous weight enumerator: w(x)=1x^0+124x^80+78x^82+64x^83+451x^84+640x^85+422x^86+64x^87+98x^88+74x^90+28x^92+2x^94+1x^96+1x^164

The gray image is a code over GF(2) with n=680, k=11 and d=320.
This code was found by Heurico 1.16 in 0.72 seconds.