The generator matrix

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

generates a code of length 77 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+184x^71+264x^72+750x^73+624x^74+862x^75+937x^76+1028x^77+920x^78+954x^79+561x^80+614x^81+230x^82+184x^83+24x^84+8x^85+11x^86+16x^87+2x^88+5x^90+4x^91+3x^92+2x^95+2x^99+1x^102+1x^106

The gray image is a code over GF(2) with n=616, k=13 and d=284.
This code was found by Heurico 1.16 in 64.8 seconds.