The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+460x^73+467x^74+528x^75+421x^76+566x^77+338x^78+504x^79+348x^80+276x^81+75x^82+60x^83+11x^84+8x^85+12x^87+12x^89+1x^92+6x^93+1x^100+1x^104

The gray image is a code over GF(2) with n=616, k=12 and d=292.
This code was found by Heurico 1.16 in 54.3 seconds.