The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+240x^86+902x^87+1630x^88+2438x^89+2884x^90+3704x^91+3555x^92+3526x^93+3395x^94+3020x^95+2338x^96+1860x^97+1301x^98+880x^99+462x^100+326x^101+126x^102+78x^103+30x^104+26x^105+29x^106+8x^107+7x^108+1x^110+1x^112

The gray image is a code over GF(2) with n=744, k=15 and d=344.
This code was found by Heurico 1.16 in 15.8 seconds.