The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+315x^74+396x^75+301x^76+182x^77+263x^78+310x^79+178x^80+20x^81+24x^82+18x^83+24x^84+2x^85+4x^86+8x^90+2x^110

The gray image is a code over GF(2) with n=616, k=11 and d=296.
This code was found by Heurico 1.16 in 148 seconds.