The generator matrix

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

generates a code of length 72 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+288x^65+564x^66+1316x^67+1783x^68+2764x^69+3634x^70+4218x^71+4170x^72+4078x^73+3454x^74+2800x^75+1602x^76+964x^77+494x^78+286x^79+105x^80+118x^81+40x^82+48x^83+18x^84+12x^85+4x^86+4x^87+2x^90+1x^100

The gray image is a code over GF(2) with n=576, k=15 and d=260.
This code was found by Heurico 1.16 in 64.6 seconds.