The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+66x^84+68x^85+168x^86+264x^87+565x^88+952x^89+1832x^90+2132x^91+3968x^92+4388x^93+7231x^94+6532x^95+9289x^96+6624x^97+7242x^98+4448x^99+4017x^100+1998x^101+1740x^102+840x^103+442x^104+272x^105+149x^106+108x^107+55x^108+24x^109+31x^110+12x^111+22x^112+8x^113+22x^114+5x^116+2x^117+14x^118+1x^120+1x^122+1x^124+2x^130

The gray image is a code over GF(2) with n=768, k=16 and d=336.
This code was found by Heurico 1.16 in 89.4 seconds.