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  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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  4  8  8  0  4 12  8 12  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  0  0 12  4  8  8 12  4  8  8  4 12  8  8 12  4  0  0  4 12  0  4  8  0  4 12 12  8
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8  4 12  8  8 12  4  4  4  8  8  8 12  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  0  8  4  4  8  0 12  4  0  0 12 12  8  0 12  4  0  0 12  4  0  0 12  4  4  4  8  8  4
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  0  0  0  0  8  8  8  8  0  8
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+69x^74+16x^75+131x^76+608x^77+114x^78+16x^79+57x^80+9x^82+2x^84+1x^148

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 62.8 seconds.