The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+211x^76+304x^77+732x^78+768x^79+1736x^80+1552x^81+2236x^82+1408x^83+2263x^84+1552x^85+1684x^86+768x^87+642x^88+304x^89+120x^90+42x^92+16x^94+17x^96+4x^98+11x^100+8x^102+2x^104+1x^108+2x^112

The gray image is a code over GF(2) with n=664, k=14 and d=304.
This code was found by Heurico 1.16 in 15.3 seconds.