The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^74+404x^75+560x^76+830x^77+861x^78+952x^79+1169x^80+932x^81+675x^82+720x^83+438x^84+272x^85+143x^86+56x^87+23x^88+32x^89+2x^90+8x^91+16x^92+14x^93+4x^94+4x^95+1x^96+1x^102+1x^110

The gray image is a code over GF(2) with n=640, k=13 and d=296.
This code was found by Heurico 1.16 in 1.43 seconds.