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

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

Homogenous weight enumerator: w(x)=1x^0+60x^86+120x^87+102x^88+96x^89+286x^90+720x^91+289x^92+96x^93+96x^94+120x^95+53x^96+6x^98+2x^100+1x^172

The gray image is a code over GF(2) with n=728, k=11 and d=344.
This code was found by Heurico 1.16 in 0.896 seconds.