The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+57x^84+354x^85+945x^86+1982x^87+2694x^88+4140x^89+5459x^90+6266x^91+7548x^92+7522x^93+7084x^94+6268x^95+5443x^96+3980x^97+2302x^98+1600x^99+900x^100+512x^101+218x^102+94x^103+81x^104+24x^105+16x^106+8x^107+11x^108+8x^109+5x^110+4x^111+1x^112+4x^113+3x^114+2x^115

The gray image is a code over GF(2) with n=744, k=16 and d=336.
This code was found by Heurico 1.16 in 61.5 seconds.