The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+106x^71+319x^72+708x^73+656x^74+996x^75+866x^76+1070x^77+921x^78+978x^79+481x^80+584x^81+223x^82+116x^83+73x^84+30x^85+18x^86+8x^87+13x^88+8x^89+5x^90+4x^91+4x^92+2x^96+1x^100+1x^102

The gray image is a code over GF(2) with n=616, k=13 and d=284.
This code was found by Heurico 1.16 in 1.52 seconds.