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

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

Homogenous weight enumerator: w(x)=1x^0+74x^65+200x^66+350x^67+444x^68+774x^69+745x^70+1200x^71+947x^72+1106x^73+686x^74+688x^75+288x^76+244x^77+156x^78+106x^79+72x^80+40x^81+34x^82+22x^83+7x^84+2x^85+3x^86+2x^87+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 1.65 seconds.