The generator matrix

 1  0  0  1  1  1 10  1  1 12  6  1  1 12  1  1  4  1  1  6  4 10  1  1  1 10  1 12  1  0  1  1  1  2  6  1  8 12  1  1  1  1  2  1  1  1 12  6  0  1  1  1 10  1  1  4  1  8  1  1  1 10  1  1  1  1  6  1  1  4 10  1
 0  1  0  2  1 11  1  0  5  1  4  8  7  1 13  7 14 12  2  1  1  2  7 14 14  1 13  1 11 12  2 14 13  1  1  9  1  1  7  2 13  4  6  4  1  3  1  1  1  4  7  4  1  7 14  1 13 14  9  4  2  6 12  6 10 11  1  7 15  1  8  6
 0  0  1  1  5  4  1  3  2  3  1  6  1 14  3 14  1 13  4  0  1  1  3  7  2  7 12 10  0  1  4 11  5 14  5 14  3  6 13 14 15 12  1 13  3 14  4  2  7  2  8 14 11  7  6  8 13  1  6 11  9  1  8  2  8 13  2  1  5 14  1  0
 0  0  0  4  4  0 12  8 12  0  4  4  8  8  4  0 12  0  0  0  8  4  4  0  4 12  8  8  4  8 12  0 12  8 12  0  8  4  0  4  0  4  0  4  0  8  4 12 12  0  4 12  8  0  8 12  0  0 12  4  0  8  8 12 12  4  0 12 12 12  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  8  8  8  0  8  0  0  8  8  0  8  0  0  8  8  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  0  8  8  8  8  8  0  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  8  8  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  0  8  8  0  8  0  8  0  0  0  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  8  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+95x^64+550x^65+1312x^66+2270x^67+3812x^68+5506x^69+7138x^70+7776x^71+8755x^72+8006x^73+7014x^74+5602x^75+3808x^76+1850x^77+1035x^78+508x^79+218x^80+136x^81+66x^82+30x^83+12x^84+12x^85+10x^86+4x^87+3x^88+4x^89+2x^91+1x^94

The gray image is a code over GF(2) with n=576, k=16 and d=256.
This code was found by Heurico 1.16 in 45.1 seconds.