The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^64+118x^65+358x^66+418x^67+1268x^68+1396x^69+3142x^70+2934x^71+4808x^72+3754x^73+5209x^74+2824x^75+2995x^76+1304x^77+1178x^78+382x^79+288x^80+106x^81+79x^82+28x^83+38x^84+36x^85+16x^86+4x^87+8x^88+6x^89+1x^90+2x^91+3x^92+2x^96+1x^98

The gray image is a code over GF(2) with n=584, k=15 and d=256.
This code was found by Heurico 1.16 in 16.7 seconds.