The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+208x^86+658x^87+1235x^88+998x^89+1077x^90+920x^91+820x^92+474x^93+584x^94+334x^95+350x^96+190x^97+163x^98+96x^99+26x^100+34x^101+12x^102+8x^103+1x^106+1x^110+1x^114+1x^118

The gray image is a code over GF(2) with n=728, k=13 and d=344.
This code was found by Heurico 1.16 in 1.5 seconds.