The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+302x^83+844x^84+1846x^85+2908x^86+4516x^87+5016x^88+6848x^89+6600x^90+8258x^91+6894x^92+6756x^93+4982x^94+3970x^95+2439x^96+1678x^97+762x^98+454x^99+164x^100+98x^101+68x^102+64x^103+32x^104+16x^105+4x^106+2x^107+2x^108+4x^109+2x^110+2x^111+2x^113+2x^114

The gray image is a code over GF(2) with n=728, k=16 and d=332.
This code was found by Heurico 1.16 in 94.2 seconds.