The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+428x^73+1758x^74+3058x^75+4236x^76+5464x^77+6558x^78+7270x^79+8253x^80+7730x^81+6885x^82+4942x^83+3833x^84+2324x^85+1360x^86+842x^87+284x^88+166x^89+95x^90+28x^91+17x^92+4x^99

The gray image is a code over GF(2) with n=640, k=16 and d=292.
This code was found by Heurico 1.16 in 50.6 seconds.