The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^73+758x^74+604x^75+702x^76+392x^77+487x^78+232x^79+262x^80+124x^81+152x^82+100x^83+105x^84+20x^85+25x^86+2x^90+1x^92+1x^96

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 0.375 seconds.