The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+139x^82+68x^83+395x^84+416x^85+1044x^86+1348x^87+2557x^88+3768x^89+4929x^90+6644x^91+7459x^92+8116x^93+7416x^94+6916x^95+4925x^96+3700x^97+2429x^98+1336x^99+805x^100+380x^101+304x^102+72x^103+157x^104+4x^105+99x^106+67x^108+20x^110+16x^112+4x^114+2x^124

The gray image is a code over GF(2) with n=744, k=16 and d=328.
This code was found by Heurico 1.16 in 87 seconds.