The generator matrix

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

generates a code of length 89 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+138x^82+998x^83+1634x^84+2258x^85+2904x^86+3494x^87+3477x^88+3602x^89+3756x^90+3236x^91+2531x^92+1890x^93+1155x^94+838x^95+352x^96+230x^97+112x^98+46x^99+44x^100+28x^101+15x^102+8x^103+8x^104+8x^105+4x^107+1x^108

The gray image is a code over GF(2) with n=712, k=15 and d=328.
This code was found by Heurico 1.16 in 15.9 seconds.