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

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

Homogenous weight enumerator: w(x)=1x^0+124x^73+478x^74+952x^75+1329x^76+2000x^77+2483x^78+3880x^79+4791x^80+6140x^81+6773x^82+7716x^83+6825x^84+6292x^85+4949x^86+3838x^87+2461x^88+1692x^89+1050x^90+722x^91+428x^92+264x^93+128x^94+138x^95+35x^96+28x^97+10x^98+2x^99+2x^100+4x^101+1x^106

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 92.9 seconds.