The generator matrix

 1  0  0  1  1  1  0  8  1  1  0  1  1  4  1 10  1 14  1  1 12 12  1 10  1 12 14  1  1  1  6  1  1  1  1  1  6 10  0  1 10  1  4  1  0  6  4  1  1  1 10 14 12  1  6  1  1  1  2 10  4  2  4  1  1  1  1  4  2 10  8  1
 0  1  0  0  5 11  1 10 14 15  1 12  5  1  6  4  4  1 13  1  1  1 10  2  3  1  1  8 11 15  1 14  9  4  9  2  0  1  1  1  0  8  1 13  1  2  1 15  7  9 14  1 12 10 12 15  8  6  1  8 14  2  1 10  8  3  9  2  1  1  6  0
 0  0  1  1  1  4  1  1 11 15  5  2  6 14 12  1 15  0  1 14  7  7 13  1 10 10 13  2  6 13  2  9  3 13  0 10  1  3  0  4  1  2  9  1  9  1  8  1  7  0  1  1  1  8  1 14  4  4  1  1  1  4 10  6  6  9  3  1 14 12  1  0
 0  0  0  2 10  8 10  2  0 12  4  4  6 10  2  4 10  6  8  0 12 14  0  6  8  0 12 10 14  4  4  6  2  8  8 14  6  4  2 10  8  6  6 14  8  8  4  8  2 12 12  2 10  8 10  2 14 12  6  2  4  2 12  4  8  2 12  6  2  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+96x^65+630x^66+1316x^67+2176x^68+3028x^69+3530x^70+3902x^71+3998x^72+4016x^73+3413x^74+2550x^75+1835x^76+1028x^77+566x^78+338x^79+173x^80+80x^81+48x^82+22x^83+8x^84+8x^85+4x^86+1x^90+1x^92

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 13.2 seconds.