The generator matrix

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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+53x^64+400x^65+903x^66+1480x^67+2346x^68+3634x^69+4777x^70+7152x^71+7864x^72+8576x^73+7859x^74+7148x^75+4825x^76+3646x^77+2085x^78+1226x^79+750x^80+382x^81+197x^82+112x^83+57x^84+12x^85+16x^86+18x^87+6x^88+2x^89+3x^90+2x^92+4x^93

The gray image is a code over GF(2) with n=584, k=16 and d=256.
This code was found by Heurico 1.16 in 55.8 seconds.