The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 10  1  1  8  1 14  1  1  1  4  1  1  2  1  1  8  1  1  4  6  1  1  1  1  0 10  1  1  1  1 12  1  1 14  1  1  2  0  2  2  0  4  2  4  0  1  1  6  1  4  6  4 10 12 14 12  1 12  1  8  6  2  1  1 14  1  1  2  1  1  1  2  4  0
 0  1 11 14 13  1  2  1  7  8  1  1  4  3  1  6  1  5 15 12  1 10  9  1  0 11  1  6 13  1  1  0 11  9  6  1  1  2  7 13  4  1  4  7  1  2  9  1  2 14  1  1  1  1  1  1 11 13  1  6  1  1  1  1  2  1  1  0  1  4  1  1 12 11 12  1 14  5  1  4 11 11  1  1  1
 0  0 12  4  4  0 12  0  4  4 12  0 12  8  4  0 12  8  8  0 12  0  8  4  0  4  4  0  4 12  0  4  8  0  4  8  0  4  0  8  4  8  8  4 12  8  4  4  8 12  0 12  4 12  8  0  4  8 12  0 12  0  0  4 12  8  8  8  4  4  8  8  4 12 12  4  8  0  8  8  0  8  4  8  8
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  8  8  0  8  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0  0  8  8
 0  0  0  0  8  8  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0  8  8  8  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  8  0  0  0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  8  8  8  0  8  8  0  0  0  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+102x^80+360x^81+422x^82+648x^83+418x^84+434x^85+385x^86+518x^87+330x^88+236x^89+79x^90+72x^91+40x^92+26x^93+4x^94+6x^95+3x^96+3x^98+4x^99+2x^100+1x^110+2x^118

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 0.895 seconds.