The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  8  1  1  1  1  2  1  1  1  1  1 12  1  1  1  1  1  4  1  1  2  1  1  1  1  2 12  1  1 12  1  1  1  1  1  2  1  8  0  2  1  1  0  1  0  1  2  8  2  0  2  1  2  2  1  1  2
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  4  6  4 14 12  2  6  0  0  2 12  2  8  4  2  6  2 10 14  6  2  4  4  6  8 12 12 12 10 10  2 12  0  8 12  6 14  2 10 12 10 12  2  8 10 10  2 12 12  2  2  6  8  6  2  0  0  0  4 10  0  6  4  4  8 12 14  2  4  2  2  4  6 14 12 12 12
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  4 10 10  4  4  8  6  6 10  8  8 14 14  0 12  6 10 14 10  2  4  0  6  4 14 10 14  8  4  8  2  2  4  4  2  4  2  8  2 14  6 10 12  8 12  8 14  2  4  0  8  0 14  8  6 10  6  2  2  2  2  4  2  8  2 14  4  0  0 14  4  2 12 10  8  0  6
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  8  4  8  0 12 12  0  8  4  0  0 12  4  4 12 12  8  4  0  0  0  4 12 12 12  8  0 12  8  4  8 12  8  0  0  0  4 12  0 12  0  8 12  8  0  4  8  4  0  8  4  0  4  8  0 12  8 12  4  4  8  8  8  8  0  0 12  4 12  0  8 12  0  0  4 12  0
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8  8  0  8  0  0  0  0  8  8  0  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0  8  0  8  0  8  8  0  8  8  0  0  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+147x^86+220x^87+451x^88+496x^89+790x^90+760x^91+1066x^92+830x^93+952x^94+626x^95+642x^96+376x^97+262x^98+154x^99+137x^100+70x^101+101x^102+30x^103+30x^104+20x^105+20x^106+8x^108+2x^115+1x^140

The gray image is a code over GF(2) with n=744, k=13 and d=344.
This code was found by Heurico 1.16 in 2.89 seconds.