The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+252x^69+1342x^70+2884x^71+5812x^72+7248x^73+11162x^74+13028x^75+16037x^76+15330x^77+16931x^78+13154x^79+11132x^80+6976x^81+4997x^82+2414x^83+1396x^84+544x^85+247x^86+90x^87+47x^88+16x^89+9x^90+14x^91+6x^92+2x^93+1x^100

The gray image is a code over GF(2) with n=616, k=17 and d=276.
This code was found by Heurico 1.16 in 191 seconds.