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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+74x^81+50x^82+220x^83+63x^84+352x^85+553x^86+344x^87+53x^88+212x^89+34x^90+76x^91+9x^92+2x^94+2x^96+2x^97+1x^166

The gray image is a code over GF(2) with n=688, k=11 and d=324.
This code was found by Heurico 1.16 in 0.817 seconds.