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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+244x^88+456x^89+762x^90+1068x^91+1570x^92+2148x^93+2286x^94+3164x^95+2886x^96+3948x^97+3250x^98+3304x^99+2081x^100+1744x^101+1066x^102+928x^103+664x^104+388x^105+292x^106+204x^107+183x^108+52x^109+40x^110+4x^111+16x^112+16x^114+2x^116+1x^136

The gray image is a code over GF(2) with n=776, k=15 and d=352.
This code was found by Heurico 1.16 in 51.9 seconds.