The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+164x^58+938x^59+2432x^60+4854x^61+7028x^62+11226x^63+13076x^64+17340x^65+16252x^66+18168x^67+13885x^68+11258x^69+6640x^70+3976x^71+2053x^72+1164x^73+336x^74+152x^75+69x^76+36x^77+12x^78+2x^79+2x^80+4x^81+2x^83+2x^84

The gray image is a code over GF(2) with n=528, k=17 and d=232.
This code was found by Heurico 1.16 in 155 seconds.