The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+137x^60+370x^61+757x^62+1208x^63+2563x^64+2886x^65+6454x^66+5406x^67+9259x^68+6866x^69+10356x^70+5624x^71+5962x^72+2868x^73+2452x^74+880x^75+729x^76+354x^77+173x^78+120x^79+26x^80+30x^81+30x^82+10x^83+11x^84+2x^85+2x^86

The gray image is a code over GF(2) with n=552, k=16 and d=240.
This code was found by Heurico 1.16 in 54.2 seconds.