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

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

Homogenous weight enumerator: w(x)=1x^0+27x^86+120x^87+70x^88+206x^89+233x^90+762x^91+212x^92+204x^93+65x^94+108x^95+21x^96+6x^97+10x^98+2x^99+1x^178

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 1.1 seconds.