The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  4  2  2  2  1  1  2  1  2  1  1  1  1  2  1  1  8  1  2  1 12  4  1  2  1  2  1  1  1  2  2  2  1  1  1  2  1  1  1  1  4  2  2  2  1
 0  2  0  0  0  2  6 14  8  8 14  6 12  2  8 10  2  6 12 12  0 10  6  4  2  6  4  4  2 12  4  6 12  2  4  4 14  2 12  2 12 12 10  6  6 12 14 12  6 12  4  2 10 14 10  2  8  8  0  2  2  0  0 12 10  4 12 14  0  2  8 12  8  4  6  2 14  6  8  4
 0  0  2  0  2  2 10  0 12 14  8  2 12  4  2  2  8 12 10 12  4  6  2  6  4  0 10  6  6  2  8  6 12  8  2  0  8 14  8  8  8  6 14  2  4  0  2 14 10  4 12 12  8 12  2 12  4  0  2  2 12  8  6  8 14  0  4 10 10  4  0 14  4 14 10 10 12  4 14  8
 0  0  0  2  2  8 10  2  4  0 14 12  2 12  6 14 14 12 10  0 10  2  0  8 14  8  0 10  8 12 14 10  0 10  4  2 12  4 14  2  8 14 14 10 14 10  8  8 10  6  4  2 12 14  2  6  2 10  4 12  0  0 14  6 10  2 10 14 12  4  2 10 14 12 14  2 10 10  0 10
 0  0  0  0  8  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  0  0  8  8  0  8  8  8  0  0  8  8  8  8  8  0  8  8  8  8  0  8  8  0  8  0  8  8  0  8  0  8  0  0  0  0  8  8  8  8  0  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+56x^72+308x^73+506x^74+748x^75+951x^76+1484x^77+1390x^78+2102x^79+1746x^80+2054x^81+1480x^82+1180x^83+698x^84+620x^85+352x^86+294x^87+167x^88+98x^89+31x^90+60x^91+21x^92+12x^93+16x^94+8x^96+1x^114

The gray image is a code over GF(2) with n=640, k=14 and d=288.
This code was found by Heurico 1.16 in 6.57 seconds.