The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+400x^60+1292x^61+2414x^62+3480x^63+5491x^64+6856x^65+8700x^66+8572x^67+8782x^68+7004x^69+5242x^70+3236x^71+2126x^72+1040x^73+440x^74+228x^75+148x^76+32x^77+36x^78+4x^79+10x^80+2x^84

The gray image is a code over GF(2) with n=536, k=16 and d=240.
This code was found by Heurico 1.16 in 44.4 seconds.