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

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

Homogenous weight enumerator: w(x)=1x^0+106x^65+238x^66+348x^67+387x^68+646x^69+838x^70+988x^71+1234x^72+968x^73+820x^74+632x^75+335x^76+282x^77+184x^78+70x^79+20x^80+22x^81+24x^82+8x^83+4x^84+20x^85+6x^86+2x^87+1x^88+4x^89+2x^90+1x^92+1x^108

The gray image is a code over GF(2) with n=576, k=13 and d=260.
This code was found by Heurico 1.16 in 38.7 seconds.