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

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

Homogenous weight enumerator: w(x)=1x^0+48x^64+112x^65+183x^66+408x^67+491x^68+592x^69+777x^70+964x^71+1132x^72+1006x^73+797x^74+556x^75+422x^76+288x^77+164x^78+106x^79+47x^80+34x^81+18x^82+8x^83+3x^84+12x^85+9x^86+6x^87+4x^89+2x^90+1x^94+1x^102

The gray image is a code over GF(2) with n=576, k=13 and d=256.
This code was found by Heurico 1.16 in 1.9 seconds.