The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+260x^85+809x^86+1234x^87+1948x^88+1612x^89+2061x^90+1710x^91+1668x^92+1424x^93+1270x^94+800x^95+646x^96+304x^97+318x^98+146x^99+78x^100+44x^101+19x^102+10x^103+11x^104+4x^105+2x^106+4x^107+1x^114

The gray image is a code over GF(2) with n=728, k=14 and d=340.
This code was found by Heurico 1.16 in 4.06 seconds.