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

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

Homogenous weight enumerator: w(x)=1x^0+121x^60+200x^61+606x^62+660x^63+1453x^64+1348x^65+2578x^66+3312x^67+3991x^68+4404x^69+4088x^70+3168x^71+2663x^72+1452x^73+1086x^74+576x^75+470x^76+212x^77+214x^78+28x^79+90x^80+28x^82+10x^84+8x^86+1x^96

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 21.7 seconds.