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  2  8  2  8  2  0  2  0  2  2  2 12  2  2  4  4  2  4  2  2  0 12  2  2  8  2  2  0 12  2  2  1  1  1  1  2  8  1  1  1  1  4  2  4  2  2
 0  2  0 14  4  6 12  2  0 14  0  6  4  2 12  2  8 14  8  6  8 14  8  6 12 10  4 10 12 10  4 10  6  2  6  2 14  2 14  2  8  4  2  2 10 10  2  2  2  2  0 12  0  2  6 10  2 14  2  2  2 14  2  0 12  8  4  6  2  0 12  8  4 12  8  8  4 12
 0  0 12  4  4  8  8 12  8 12  4  0 12  4  0  8  8  8  4 12  0  0 12  4 12 12  8  0  4  4  0  8  0  4  8 12  4  0 12  8  4  4  4  0  0  8  4 12 12  8  4  4  4  8 12 12  0  8  0 12  4  0  8  0  0  8  8  4  8  8  8  0  0 12 12  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+113x^76+112x^77+108x^78+64x^79+72x^80+16x^81+20x^82+2x^84+1x^88+1x^92+1x^96+1x^104

The gray image is a code over GF(2) with n=624, k=9 and d=304.
This code was found by Heurico 1.16 in 0.401 seconds.