The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  0  1  4  2  1  1  1  2  1  1  8  1  1  1 12  1  2  4 12 12  1  1  1  0  1  1  1  1  2  2  1  1  1  1  8  2  2 12  2  1  4  1 12  1  2  0  2  2  8  1  4  2  8  2  1
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  6  2 12 12  0 10  6  4  2  6  4  4 14  4  4  2 14  2  8  2  2 14  0 10  8 10  8  4  0 12  2  2 10 10  2 12  2  4  2  4  0 10  4  4  2 10  0  2  4 10  4 14 10 14  2 10  4  2  0  0  2 10 12  8  2  4  0  6  4 10  8  8  0  8  8
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2 12  8 10 12  4  6  2  6  4  0 10  0  6  6  8 14  8  6 12  4  8 12  2 12  0 10 12 14 10  0  2 10  8 14  6  8  6 12  6  2 10  0 10  2  0 14 10  4  2  6 10 10 12  6 14  4  0 12  2  8  6 14  2  6  8  8  2 12  2 12  2 14  2  0 12
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 12 14 10  0 10  2  0  8 14  8  0  4  4 10 14  2 12  6  8 10  0 14 10 10  6  4  2  0  4  4  0 10 10  4  2 10  2  2  8 12  2  4  8 14 12  0  4  4  6  6  2 12 14  6  8  0  2 10  8 12 12  0  8 10 12  2  6  2  6  0 12  6  0 10 12
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  0  8  0  0  0  0  0  0  0  8  8  0  8  8  8  0  0  8  8  8  8  8  0  0  0  0  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+94x^83+417x^84+554x^85+877x^86+1032x^87+1420x^88+1344x^89+2070x^90+1572x^91+1896x^92+1036x^93+1323x^94+826x^95+707x^96+330x^97+275x^98+206x^99+133x^100+118x^101+52x^102+42x^103+32x^104+10x^105+10x^106+4x^107+2x^108+1x^122

The gray image is a code over GF(2) with n=728, k=14 and d=332.
This code was found by Heurico 1.16 in 7.82 seconds.