The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^76+160x^77+160x^78+50x^79+16x^80+32x^81+13x^82+10x^83+4x^84+4x^85+3x^86

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 0.248 seconds.