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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+54x^63+327x^64+464x^65+1033x^66+1044x^67+2199x^68+2188x^69+3422x^70+3520x^71+4573x^72+3424x^73+3572x^74+2126x^75+1929x^76+974x^77+856x^78+360x^79+387x^80+106x^81+100x^82+62x^83+24x^84+6x^85+6x^86+2x^87+6x^89+2x^90+1x^98

The gray image is a code over GF(2) with n=576, k=15 and d=252.
This code was found by Heurico 1.16 in 21 seconds.