The generator matrix

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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+153x^72+334x^73+954x^74+1020x^75+2216x^76+2444x^77+3472x^78+3742x^79+4450x^80+3662x^81+3646x^82+2350x^83+1900x^84+862x^85+749x^86+270x^87+263x^88+116x^89+63x^90+38x^91+34x^92+6x^93+10x^94+4x^95+5x^96+2x^100+1x^102+1x^106

The gray image is a code over GF(2) with n=640, k=15 and d=288.
This code was found by Heurico 1.16 in 17.6 seconds.