The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+127x^76+718x^77+1558x^78+2208x^79+3173x^80+3374x^81+3819x^82+3794x^83+3748x^84+3114x^85+2524x^86+1862x^87+1224x^88+714x^89+443x^90+142x^91+81x^92+48x^93+44x^94+26x^95+22x^96+4x^98

The gray image is a code over GF(2) with n=664, k=15 and d=304.
This code was found by Heurico 1.16 in 13.7 seconds.