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

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

Homogenous weight enumerator: w(x)=1x^0+104x^89+117x^90+286x^91+318x^92+550x^93+537x^94+892x^95+860x^96+1030x^97+866x^98+868x^99+520x^100+522x^101+215x^102+204x^103+65x^104+88x^105+33x^106+30x^107+24x^108+18x^109+14x^110+8x^111+4x^112+4x^113+6x^114+2x^117+3x^118+2x^121+1x^150

The gray image is a code over GF(2) with n=776, k=13 and d=356.
This code was found by Heurico 1.16 in 3.02 seconds.