The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+120x^65+295x^66+706x^67+871x^68+1992x^69+2846x^70+3654x^71+3904x^72+4136x^73+4209x^74+3630x^75+2551x^76+1724x^77+865x^78+676x^79+200x^80+204x^81+86x^82+30x^83+22x^84+12x^85+13x^86+6x^87+2x^88+4x^89+6x^90+2x^91+1x^104

The gray image is a code over GF(2) with n=584, k=15 and d=260.
This code was found by Heurico 1.16 in 15.6 seconds.