The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  4  1  1  2  1  1  0  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  1  1  4  2  2  2  0  2  2 12  2  2  8  2  2  4  1  1  0  1  1 12  1  1  1  1  8  4  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  1  2  1  1  0  3  1  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  2  7  1  1  1  0  6  2 12 10  2  8 14  2  4  2  2  0  3  1 12 15  1  8  4 11  7  1  1  6 10 14  2  0 12

generates a code of length 78 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+16x^77+212x^78+16x^79+3x^80+2x^84+4x^86+2x^92

The gray image is a code over GF(2) with n=624, k=8 and d=308.
This code was found by Heurico 1.16 in 0.146 seconds.