The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^73+354x^74+790x^75+1001x^76+1514x^77+1722x^78+1826x^79+2002x^80+2028x^81+1571x^82+1248x^83+848x^84+592x^85+292x^86+202x^87+90x^88+60x^89+25x^90+30x^91+23x^92+18x^93+2x^94+3x^96+2x^97+1x^98+1x^106

The gray image is a code over GF(2) with n=640, k=14 and d=292.
This code was found by Heurico 1.16 in 4.57 seconds.