The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  8  2  4  1  8  2  1  0  0  1  2  0  1 12  2  1  1  1  1 12  1  1  1  0  2  4  2  4  2  1  1  1  2  1  1  2  1  2  1  1
 0  2  0  2  0  0 14 14  4  6  2  4 12 10 14  4 12  2  0  8  8 14  0 14  6 12  4 10  4 14 12  2  4  2  6  2  4  2  4  2  2  4  0  2  0 10  2 10 12 12  8 12  2  8  6  2  0 12  2  8  2 10 14  8  6  8  2 10  6  6  2  4  8
 0  0  2  2 12  6  6  4  4  0  6 10  8  4 10 10  2  2 14  0 12 10  2  8  4  6  0 12  2  6 14  2  8 10  0  0  4  4 10 14  6  2 12 14  2  0  8  2 12 14  2 10  4  0  8  8  2 10  2  2  6  4  0 12  8  2 10 10 10  0  0  8  0
 0  0  0  4  0  0  4  8  0  0 12  8  0  8 12  0  4  0  4 12 12  8  4 12  4  4  4 12  8  8 12  8  4  0  0  4  8  0 12  0 12  4  0  4  8 12  8  4  4  4  8  0 12  8 12  4  8  0  0 12 12  8  8  4  4  8 12  4  8 12  4 12  4
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8  0  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  8  0  8  8  0  8  0  8  0  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0  0  0  8  0  0  8  0  8  0  8  0  0  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  8  0  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+100x^65+280x^66+446x^67+688x^68+924x^69+1303x^70+1738x^71+1929x^72+1944x^73+1842x^74+1648x^75+1221x^76+832x^77+595x^78+358x^79+194x^80+120x^81+64x^82+56x^83+59x^84+12x^85+6x^86+8x^87+4x^88+4x^89+5x^90+2x^91+1x^98

The gray image is a code over GF(2) with n=584, k=14 and d=260.
This code was found by Heurico 1.16 in 6.34 seconds.