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

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

Homogenous weight enumerator: w(x)=1x^0+15x^74+42x^75+16x^76+368x^77+15x^78+34x^79+15x^80+1x^82+2x^83+1x^86+2x^111

The gray image is a code over GF(2) with n=616, k=9 and d=296.
This code was found by Heurico 1.16 in 0.379 seconds.