The generator matrix

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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+188x^87+768x^88+540x^89+712x^90+460x^91+396x^92+232x^93+225x^94+116x^95+184x^96+84x^97+116x^98+20x^99+24x^100+24x^101+2x^102+2x^104+1x^110+1x^112

The gray image is a code over GF(2) with n=728, k=12 and d=348.
This code was found by Heurico 1.16 in 0.578 seconds.