The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+152x^89+470x^90+1006x^91+1248x^92+2544x^93+2641x^94+3500x^95+3315x^96+3764x^97+3069x^98+3554x^99+2399x^100+2222x^101+1119x^102+800x^103+329x^104+202x^105+145x^106+86x^107+61x^108+66x^109+42x^110+12x^111+6x^112+10x^113+2x^115+2x^126+1x^128

The gray image is a code over GF(2) with n=776, k=15 and d=356.
This code was found by Heurico 1.16 in 21.3 seconds.