The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^60+578x^61+1156x^62+1422x^63+1945x^64+2112x^65+2216x^66+1870x^67+1947x^68+1218x^69+914x^70+398x^71+162x^72+108x^73+72x^74+66x^75+24x^76+32x^77+4x^79+1x^82+1x^84+1x^90

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 3.35 seconds.