The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+77x^68+396x^69+759x^70+1662x^71+2297x^72+3760x^73+4473x^74+7364x^75+7387x^76+9146x^77+7732x^78+7356x^79+4690x^80+3722x^81+1937x^82+1278x^83+540x^84+470x^85+239x^86+132x^87+42x^88+24x^89+20x^90+14x^91+5x^92+8x^94+2x^95+2x^97+1x^100

The gray image is a code over GF(2) with n=616, k=16 and d=272.
This code was found by Heurico 1.16 in 59.8 seconds.