The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^73+661x^74+1674x^75+1937x^76+2902x^77+3354x^78+4270x^79+3578x^80+4312x^81+3039x^82+2532x^83+1667x^84+1244x^85+670x^86+438x^87+155x^88+68x^89+15x^90+38x^91+20x^92+10x^93+4x^94+8x^95+2x^96+2x^97+1x^98

The gray image is a code over GF(2) with n=640, k=15 and d=292.
This code was found by Heurico 1.16 in 13.4 seconds.