The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+236x^74+600x^75+1927x^76+2320x^77+4271x^78+5004x^79+7231x^80+6708x^81+9048x^82+6996x^83+7556x^84+4672x^85+4149x^86+2036x^87+1382x^88+680x^89+371x^90+148x^91+107x^92+16x^93+26x^94+28x^96+4x^97+9x^98+6x^100+2x^102+2x^104

The gray image is a code over GF(2) with n=656, k=16 and d=296.
This code was found by Heurico 1.16 in 53.4 seconds.