The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+119x^64+236x^65+751x^66+1168x^67+1830x^68+2774x^69+3436x^70+4054x^71+4347x^72+4040x^73+3266x^74+2842x^75+1751x^76+946x^77+612x^78+240x^79+169x^80+54x^81+58x^82+12x^83+31x^84+8x^85+3x^86+2x^87+8x^88+6x^89+1x^90+2x^91+1x^94

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 15.3 seconds.