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  4  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  2  0  6  4  4  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  4  8  0 12  0  8
 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  8  8  8  8  0  0  0

generates a code of length 79 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+38x^76+112x^77+217x^78+300x^79+226x^80+88x^81+20x^82+12x^83+6x^84+3x^86+1x^152

The gray image is a code over GF(2) with n=632, k=10 and d=304.
This code was found by Heurico 1.16 in 0.591 seconds.