The generator matrix

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

generates a code of length 99 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+50x^89+107x^90+348x^91+460x^92+1040x^93+1248x^94+2360x^95+1883x^96+3650x^97+2967x^98+4536x^99+3049x^100+3954x^101+1967x^102+2088x^103+1116x^104+946x^105+311x^106+362x^107+102x^108+70x^109+30x^110+22x^111+26x^112+16x^113+11x^114+10x^115+12x^116+10x^118+2x^119+6x^120+2x^121+4x^122+1x^132+1x^134

The gray image is a code over GF(2) with n=792, k=15 and d=356.
This code was found by Heurico 1.16 in 59.3 seconds.