The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+34x^82+178x^83+483x^84+1034x^85+1417x^86+2124x^87+2402x^88+3360x^89+3455x^90+4080x^91+3384x^92+3542x^93+2451x^94+2022x^95+1070x^96+662x^97+440x^98+274x^99+136x^100+76x^101+51x^102+34x^103+7x^104+10x^105+21x^106+8x^107+2x^108+4x^109+2x^110+2x^112+1x^116+1x^118

The gray image is a code over GF(2) with n=728, k=15 and d=328.
This code was found by Heurico 1.16 in 20.3 seconds.