The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^63+996x^64+2392x^65+5450x^66+8470x^67+15078x^68+20652x^69+27422x^70+32914x^71+35283x^72+31862x^73+29464x^74+20638x^75+14453x^76+8394x^77+4676x^78+2084x^79+1106x^80+386x^81+184x^82+68x^83+21x^84+26x^85+2x^86+4x^87+6x^88+2x^90

The gray image is a code over GF(2) with n=576, k=18 and d=252.
This code was found by Heurico 1.16 in 696 seconds.