The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^60+256x^61+578x^62+724x^63+1047x^64+938x^65+995x^66+984x^67+966x^68+720x^69+558x^70+186x^71+87x^72+12x^73+9x^74+4x^75+9x^76+8x^77+2x^78+6x^79+6x^80+2x^81+2x^82+1x^96

The gray image is a code over GF(2) with n=528, k=13 and d=240.
This code was found by Heurico 1.16 in 1.07 seconds.