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

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

Homogenous weight enumerator: w(x)=1x^0+2x^74+196x^75+124x^76+376x^77+124x^78+196x^79+2x^80+1x^88+1x^98+1x^122

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 0.25 seconds.