The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^84+402x^85+977x^86+1080x^87+1587x^88+1502x^89+1969x^90+1654x^91+1874x^92+1452x^93+1459x^94+846x^95+629x^96+326x^97+180x^98+108x^99+94x^100+22x^101+32x^102+22x^103+20x^104+8x^105+19x^106+2x^107+2x^110+1x^112+2x^114

The gray image is a code over GF(2) with n=728, k=14 and d=336.
This code was found by Heurico 1.16 in 5.89 seconds.