The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+78x^64+318x^65+724x^66+1190x^67+1731x^68+2814x^69+3306x^70+4400x^71+3904x^72+4488x^73+3186x^74+2824x^75+1573x^76+972x^77+620x^78+280x^79+155x^80+98x^81+54x^82+4x^83+11x^84+8x^85+6x^86+4x^87+2x^88+4x^89+8x^90+2x^91+1x^92+2x^93

The gray image is a code over GF(2) with n=576, k=15 and d=256.
This code was found by Heurico 1.16 in 15.2 seconds.