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

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

Homogenous weight enumerator: w(x)=1x^0+400x^64+476x^65+1050x^66+1188x^67+2171x^68+2280x^69+3526x^70+3176x^71+4426x^72+3424x^73+3394x^74+2284x^75+1995x^76+940x^77+902x^78+432x^79+375x^80+108x^81+132x^82+24x^83+31x^84+4x^85+20x^86+6x^88+3x^92

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 33.5 seconds.