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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+68x^86+138x^87+217x^88+558x^89+601x^90+1116x^91+1101x^92+2172x^93+2230x^94+3394x^95+3019x^96+3968x^97+3050x^98+3250x^99+2193x^100+2054x^101+973x^102+982x^103+500x^104+502x^105+172x^106+186x^107+113x^108+72x^109+64x^110+14x^111+14x^112+12x^113+8x^114+6x^115+9x^116+6x^117+1x^120+1x^122+2x^123+1x^134

The gray image is a code over GF(2) with n=776, k=15 and d=344.
This code was found by Heurico 1.16 in 33.5 seconds.