The generator matrix

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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+127x^74+828x^75+841x^76+2146x^77+1523x^78+2532x^79+1600x^80+2172x^81+1041x^82+1420x^83+638x^84+766x^85+281x^86+296x^87+37x^88+60x^89+29x^90+12x^91+17x^92+8x^93+6x^94+1x^98+2x^100

The gray image is a code over GF(2) with n=640, k=14 and d=296.
This code was found by Heurico 1.16 in 3.39 seconds.