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

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

Homogenous weight enumerator: w(x)=1x^0+60x^64+230x^65+496x^66+720x^67+986x^68+1160x^69+1554x^70+2206x^71+2056x^72+1836x^73+1664x^74+1134x^75+833x^76+562x^77+334x^78+206x^79+134x^80+92x^81+44x^82+18x^83+20x^84+22x^85+4x^86+4x^87+5x^88+2x^89+1x^100

The gray image is a code over GF(2) with n=576, k=14 and d=256.
This code was found by Heurico 1.16 in 6.09 seconds.