The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+118x^73+318x^74+680x^75+1156x^76+1386x^77+1894x^78+1826x^79+2009x^80+1780x^81+1667x^82+1496x^83+914x^84+440x^85+347x^86+136x^87+95x^88+38x^89+23x^90+16x^91+14x^92+14x^93+6x^94+6x^95+2x^96+1x^104+1x^110

The gray image is a code over GF(2) with n=640, k=14 and d=292.
This code was found by Heurico 1.16 in 4.83 seconds.