The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+92x^85+588x^86+554x^87+815x^88+738x^89+1102x^90+810x^91+943x^92+704x^93+751x^94+360x^95+362x^96+118x^97+107x^98+62x^99+20x^100+12x^101+21x^102+6x^103+2x^104+21x^106+2x^114+1x^116

The gray image is a code over GF(2) with n=728, k=13 and d=340.
This code was found by Heurico 1.16 in 1.91 seconds.