The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^73+190x^74+152x^75+192x^76+568x^77+192x^78+152x^79+190x^80+204x^81+1x^90+1x^106+1x^112

The gray image is a code over GF(2) with n=616, k=11 and d=292.
This code was found by Heurico 1.16 in 0.301 seconds.