The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2 12  1  1 12  4  2  4  2  1  2  2  2  1  0  4  1  1  0  2  1  0  8  1  8  1 12  1  1  4  1  2  0  1 12  0  1  2  0  2  8  8  1  1
 0  2  0  0  0  2 14  2  4  2 10 12 12  2 14 12  8 12 12 14  4 14  6 14  2 12  6 10  8  2  8  0  4 12  8 14  6  0  8  6  2  6 14  0  2  2  2 10 10  0 10  4  4  2  4  0  8  0 12  6  0  8  4  2  4  2  4 14  4  8 10  8  2  8 12  8  6  8  6  8  4 10 12
 0  0  2  0  2  2  2  8 10  6 14  2  8 12 12  4 14 10  8  6  8  0  2 12 10  8  4  0 12  6  2  8  4  6 14  8  2  2  2 14  2  4 14  4  8 10  0 10  2  0  4  2  4  0  2  2 12  2  2 12  4  2  4 10 10  2  0  0 12 12  6  2  2  2  2  0 12  2 14  8  0  0 12
 0  0  0  2  2  0 10  2  8  8 14 14  6  0 14  4 12 10 14  0  0  8  2  2  4 12  0 14 10  2 12  8  6 14 14  4  8  2  8  6  4 12  4  2 14 12  8  6  2 10  2 12 10  4  4  0  2 14  0  0  2  4  0 10 14 10  2  4  2  0 10  4  6  0 10  6  8 14  6  2  2  8  0
 0  0  0  0  4  0  4  0  0 12  0  0  4 12  4  4  4  8  8  0  4 12  8 12  0  0  8  8  0  4  4 12  4  8 12  8 12  0  8  0  8  4  4 12  4  8  4 12 12  0  8  4  8  4 12  8  4  4  4  8  8  0 12  0 12  4  4  0  4  4  4  4  0  0  0  8  0 12 12  0  0 12  4
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  0  0  0  8  8  0  8  0  0  8  0  0  0  8  8  8  0  0  0  0  0  8  8  0  0  0  8  0  0  8  8  0  0  8  8  8  0  8  8  8

generates a code of length 83 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+152x^73+559x^74+856x^75+1351x^76+1882x^77+2875x^78+3754x^79+4925x^80+5734x^81+7346x^82+6946x^83+6958x^84+6074x^85+5239x^86+3632x^87+2704x^88+1698x^89+1180x^90+610x^91+391x^92+302x^93+188x^94+58x^95+54x^96+28x^97+19x^98+16x^99+2x^101+2x^102

The gray image is a code over GF(2) with n=664, k=16 and d=292.
This code was found by Heurico 1.16 in 97.7 seconds.