The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+130x^76+806x^77+1229x^78+1698x^79+1738x^80+2236x^81+1727x^82+1926x^83+1483x^84+1220x^85+794x^86+586x^87+303x^88+252x^89+110x^90+58x^91+24x^92+46x^93+10x^94+4x^95+1x^98+1x^100+1x^102

The gray image is a code over GF(2) with n=656, k=14 and d=304.
This code was found by Heurico 1.16 in 3.49 seconds.