The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+74x^86+326x^87+551x^88+1294x^89+1966x^90+3000x^91+3887x^92+5022x^93+5796x^94+7288x^95+7692x^96+6738x^97+6337x^98+5324x^99+3497x^100+2534x^101+1579x^102+1232x^103+540x^104+338x^105+241x^106+106x^107+46x^108+50x^109+32x^110+12x^111+7x^112+6x^113+6x^114+6x^115+2x^117+1x^118+2x^119+3x^120

The gray image is a code over GF(2) with n=768, k=16 and d=344.
This code was found by Heurico 1.16 in 78.3 seconds.