The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^86+492x^87+444x^88+560x^89+402x^90+390x^91+424x^92+374x^93+357x^94+364x^95+64x^96+88x^97+20x^98+14x^99+2x^100+14x^101+4x^103+8x^104+4x^105+2x^118+1x^120

The gray image is a code over GF(2) with n=728, k=12 and d=344.
This code was found by Heurico 1.16 in 0.99 seconds.