The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  1  1  1
 0  2  0  6  4 14 12  2  0  6  0 14  4  2 12  2  0  6  0 14  4  2 12  2  0  6 12  2  0 14  4  2  8 14  4 10  8  6 12 10  8 14  4 10  8  6 12 10  8 14  4 10  8  6 12 10  8 14  4 10  8  6 12 10  0  6 12 10  8 14 14  2  4 14  2  2  8
 0  0 12  0 12  4  0  4  8  8  4 12  4 12  8  8  0  0 12  4  4 12  8  8  8  8  0  0  4 12 12  4  8  8  8  8  4 12  4 12  0  0  0  0 12  4 12  4  8  8  8  8  4 12 12 12  0  0  0  0 12  4  4  4  0  0  0  8  4  4 12 12 12 12  4  4  4
 0  0  0  8  8  0  8  8  0  8  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  8  0  0  0  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+51x^74+42x^75+270x^76+304x^77+267x^78+36x^79+47x^80+1x^82+2x^83+2x^84+1x^150

The gray image is a code over GF(2) with n=616, k=10 and d=296.
This code was found by Heurico 1.16 in 0.537 seconds.