The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+98x^81+607x^82+816x^83+1665x^84+1994x^85+2704x^86+3008x^87+3637x^88+4002x^89+3765x^90+2986x^91+2803x^92+1748x^93+1208x^94+678x^95+487x^96+178x^97+182x^98+54x^99+56x^100+42x^101+26x^102+10x^103+6x^104+2x^105+1x^106+2x^110+1x^112+1x^114

The gray image is a code over GF(2) with n=712, k=15 and d=324.
This code was found by Heurico 1.16 in 19.1 seconds.