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

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

Homogenous weight enumerator: w(x)=1x^0+34x^77+7x^78+12x^79+4x^80+2x^81+1x^82+3x^84

The gray image is a code over GF(2) with n=616, k=6 and d=308.
This code was found by Heurico 1.16 in 0.368 seconds.