The generator matrix

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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+226x^77+226x^78+740x^79+652x^80+966x^81+952x^82+824x^83+904x^84+974x^85+610x^86+624x^87+193x^88+192x^89+30x^90+40x^91+6x^92+6x^93+4x^94+4x^95+1x^96+2x^97+2x^98+4x^99+2x^101+1x^104+4x^107+2x^108

The gray image is a code over GF(2) with n=664, k=13 and d=308.
This code was found by Heurico 1.16 in 1.85 seconds.