The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^64+1158x^65+2823x^66+4784x^67+7361x^68+10876x^69+14076x^70+15640x^71+17363x^72+16020x^73+13996x^74+10748x^75+7322x^76+4560x^77+2279x^78+1002x^79+546x^80+198x^81+71x^82+32x^83+7x^84+4x^85+3x^86+2x^87+2x^88

The gray image is a code over GF(2) with n=576, k=17 and d=256.
This code was found by Heurico 1.16 in 177 seconds.