The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+86x^89+392x^90+924x^91+2006x^92+3290x^93+4167x^94+5216x^95+6423x^96+7058x^97+7177x^98+6966x^99+6243x^100+5284x^101+3935x^102+2618x^103+1748x^104+892x^105+495x^106+332x^107+95x^108+68x^109+52x^110+20x^111+22x^112+6x^113+5x^114+2x^115+2x^116+2x^117+2x^119+4x^120+2x^121+1x^122

The gray image is a code over GF(2) with n=784, k=16 and d=356.
This code was found by Heurico 1.16 in 66 seconds.