The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^81+476x^82+802x^83+1389x^84+2122x^85+2629x^86+3334x^87+3859x^88+3962x^89+3681x^90+2992x^91+2608x^92+1998x^93+1152x^94+630x^95+391x^96+226x^97+108x^98+96x^99+54x^100+28x^101+14x^102+14x^103+17x^104+10x^105+3x^106+2x^107+2x^111+1x^116+1x^118

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 27.2 seconds.