The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+228x^84+844x^85+1608x^86+2356x^87+2893x^88+3828x^89+3453x^90+3708x^91+3411x^92+2876x^93+2407x^94+2080x^95+1276x^96+908x^97+389x^98+188x^99+129x^100+88x^101+43x^102+20x^103+26x^104+4x^108+2x^110+2x^114

The gray image is a code over GF(2) with n=728, k=15 and d=336.
This code was found by Heurico 1.16 in 16.1 seconds.