The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+274x^60+484x^61+998x^62+1504x^63+1905x^64+2056x^65+2316x^66+1980x^67+1797x^68+1432x^69+790x^70+360x^71+213x^72+88x^73+86x^74+28x^75+43x^76+4x^77+14x^78+3x^80+2x^82+2x^84+2x^86+2x^88

The gray image is a code over GF(2) with n=528, k=14 and d=240.
This code was found by Heurico 1.16 in 12.5 seconds.