The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^76+236x^77+223x^78+804x^79+511x^80+972x^81+639x^82+1322x^83+695x^84+1102x^85+481x^86+720x^87+194x^88+182x^89+25x^90+30x^91+6x^92+2x^94+2x^96+2x^97+2x^100+2x^101+6x^102+4x^107+1x^116

The gray image is a code over GF(2) with n=664, k=13 and d=304.
This code was found by Heurico 1.16 in 1.63 seconds.