The generator matrix

 1  0  0  1  1  1 14  1  6  2  1  1  1 10  1  2  1  1  1  6 10  4  1  1  2  1  1  2  6  1  1  1  1  1  0  1  1  0  1  1  4  1  1  8 12  1 12  2  1  1  0  1  0  1 14  1  1  1  6  1 14  1 14  1 14 12 10  1  0  4  1  1  1  1 14  2  1  1  1  1
 0  1  0  0 13  3  1  2  1  6  1  7 10  1  6  4 12  7  9  1  1 10 12  9  1  5  6  1 12 14  4  3  2  1  1  0  7  1  4 11 12  6 13  1  1 11  1  1  9  9  4  5  1 13  1 14  0  0  8  0  2 10  1 14  1  1  1 12  1 14  8  3 15  9  1 12 15  4  2  0
 0  0  1  1 13  0  5  6  2  1  3  2  5  7  8  1 13 11  2  6 11  1  2 12  5  3 13  4  1  6 15  3  8  0  1  0  9  6 11  0  1  3 14  7  6  1 13  3  8  9  1 14  9 10  6 12  1 13  1 13  1  5 12  1 12 14 13  7  3  1  8  6  5  3 13  1 10  2  6  0
 0  0  0  2 10  8  2 12 12 12 10  0 14  2  0  6 12  4 14 10  8 10  2 14  0  8  4  8  0 10 12  6  2 12 14 14  2 10  2 10  2  2  0  6  0 14  4  4  6  8 14 10  4  2 12  8  4  8 10  6  8  8  6 14  6  6  4  0  4 14  4 14  2  4  4  8  4  8  4  8
 0  0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  0  8  0  0  0  8  8  0  0  8  8  0  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  0  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  0  8  0  8  0  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+140x^72+672x^73+1659x^74+2516x^75+4111x^76+5278x^77+6936x^78+7570x^79+7766x^80+8158x^81+7107x^82+5024x^83+3807x^84+2222x^85+1201x^86+574x^87+411x^88+178x^89+104x^90+58x^91+18x^92+4x^93+15x^94+2x^96+2x^98+2x^99

The gray image is a code over GF(2) with n=640, k=16 and d=288.
This code was found by Heurico 1.16 in 50.5 seconds.