The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+84x^65+563x^66+1376x^67+1947x^68+3130x^69+3348x^70+4174x^71+4097x^72+4172x^73+3171x^74+2712x^75+1859x^76+1086x^77+504x^78+304x^79+83x^80+64x^81+28x^82+40x^83+12x^84+6x^85+2x^86+2x^87+1x^88+2x^93

The gray image is a code over GF(2) with n=576, k=15 and d=260.
This code was found by Heurico 1.16 in 11.9 seconds.