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

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

Homogenous weight enumerator: w(x)=1x^0+74x^76+24x^77+252x^78+336x^79+244x^80+24x^81+56x^82+8x^84+4x^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 28.9 seconds.