The generator matrix

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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+136x^75+748x^76+860x^77+1437x^78+828x^79+1057x^80+658x^81+875x^82+414x^83+460x^84+234x^85+273x^86+102x^87+44x^88+24x^89+21x^90+8x^91+9x^92+2x^94+1x^100

The gray image is a code over GF(2) with n=640, k=13 and d=300.
This code was found by Heurico 1.16 in 1.16 seconds.