The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^63+167x^64+258x^65+643x^66+978x^67+1822x^68+2318x^69+4133x^70+3480x^71+5060x^72+3864x^73+3900x^74+2188x^75+2017x^76+888x^77+488x^78+196x^79+115x^80+78x^81+32x^82+18x^83+20x^84+10x^85+14x^86+8x^87+13x^88+8x^89+5x^90+1x^94+1x^100

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 16.4 seconds.