The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^60+338x^61+590x^62+1492x^63+2082x^64+3590x^65+4801x^66+7212x^67+7948x^68+9434x^69+7968x^70+7426x^71+4610x^72+3760x^73+1882x^74+1140x^75+550x^76+324x^77+166x^78+64x^79+51x^80+24x^81+13x^82+8x^83+4x^84+4x^86+2x^87+2x^89

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 51.8 seconds.