The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+293x^60+382x^61+1246x^62+1832x^63+2861x^64+3372x^65+4322x^66+4246x^67+4464x^68+3592x^69+2829x^70+1422x^71+985x^72+356x^73+239x^74+114x^75+112x^76+42x^77+32x^78+2x^79+17x^80+2x^82+3x^84+1x^86+1x^90

The gray image is a code over GF(2) with n=536, k=15 and d=240.
This code was found by Heurico 1.16 in 20.8 seconds.