The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^60+664x^61+1084x^62+2372x^63+2188x^64+4116x^65+3583x^66+4944x^67+3453x^68+4410x^69+2056x^70+1926x^71+837x^72+556x^73+234x^74+156x^75+44x^76+42x^77+12x^78+10x^79+2x^80+4x^81+7x^82

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 10.5 seconds.