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  4  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 12
 0  2  0  2  0  0  2  2  4  6  4  6 12 14 12 14 12 14 12  6  8 10  8 10  8 10  4 14  4  6  2  8  2  0 12 10  4  6  0  2  0  6 14 12 10  4 10 14  4  0 14 12  6  8 10  8 10  8  2 12  6  4 14  8  2  0  2  4 14  0  2 12  4  2 12 10 14  2
 0  0  2  2 12  6 14  4  4  6 10  8 14 10  8 12 12 14  2  4  8 10 14  8  4  6  6  0  0  2 10  2 12 10  6 12 14  0  8 10  4 10  4  0 14  2  0  6 12 14  8  4 14  0  2 10  4 12  6 10 12  8  2  6  8  0  2  2  4 12 14  6  4  4  8  0  0  6

generates a code of length 78 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+183x^76+64x^77+544x^78+64x^79+150x^80+16x^82+1x^84+1x^152

The gray image is a code over GF(2) with n=624, k=10 and d=304.
This code was found by Heurico 1.16 in 0.316 seconds.