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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+50x^81+33x^82+126x^83+295x^84+62x^85+274x^86+88x^87+19x^88+46x^89+11x^90+8x^91+5x^92+2x^93+1x^94+2x^99+1x^134

The gray image is a code over GF(2) with n=680, k=10 and d=324.
This code was found by Heurico 1.16 in 0.627 seconds.