The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  8  1 12  2  2  8 12  1  2  2  2  1  8  2  1  1  2  2  1  1  2  2  1  0  1  1  1  1 12  8 12  1  4  1  0  1  1  1  1
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  6 12  8 10 10 10  4  8 10  2 12 12  8 12  4  2 12 10  0 14 12  2 10 10  8  2  2 14  8  8  0 14  8  0 12  0 10  2 12  0  6  2 12 12  6 12  4  0
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  6 14  4  8 12  2 14 14 14  8 14  2 10  4  8  2  2 10  2 12 14 10  4 10  8  6 12 10  4  0 10 14  8  6 14  8 14 12  2  2  6  4 12  4 12  4  8  0
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 10  4 12  4  2 14  0  2  8  4  6 12  8 14  2 12  6 14 12 14  0  2  0  0 10  0 14  2  4  2  0  8  2  0  4  6  8 12  8  0 14  0  8  2  4  2 10  0
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0  8  8 12  4  4 12 12 12  0  8  4  0  4  0  4  0  8  4  4  8  4 12  4 12 12 12  4  0  8  8  8  4 12  0  4  8  4 12 12  4  4 12  8 12  8  8  8  0

generates a code of length 69 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+57x^60+276x^61+582x^62+886x^63+1311x^64+1896x^65+2427x^66+3168x^67+3661x^68+4052x^69+4170x^70+3232x^71+2381x^72+1728x^73+1118x^74+730x^75+487x^76+282x^77+140x^78+102x^79+35x^80+20x^81+11x^82+10x^83+2x^84+2x^85+1x^92

The gray image is a code over GF(2) with n=552, k=15 and d=240.
This code was found by Heurico 1.16 in 19.9 seconds.