The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+140x^63+318x^64+714x^65+1270x^66+2280x^67+3353x^68+5510x^69+6563x^70+8762x^71+7899x^72+8894x^73+6532x^74+5552x^75+3193x^76+2060x^77+1131x^78+674x^79+322x^80+138x^81+72x^82+54x^83+46x^84+22x^85+13x^86+8x^87+4x^88+6x^89+2x^90+2x^91+1x^94

The gray image is a code over GF(2) with n=576, k=16 and d=252.
This code was found by Heurico 1.16 in 62.2 seconds.