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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+100x^73+200x^74+444x^75+371x^76+804x^77+569x^78+1474x^79+719x^80+1312x^81+486x^82+742x^83+193x^84+278x^85+141x^86+120x^87+73x^88+66x^89+36x^90+18x^91+18x^92+14x^93+8x^94+2x^95+2x^97+1x^120

The gray image is a code over GF(2) with n=640, k=13 and d=292.
This code was found by Heurico 1.16 in 2.1 seconds.