The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+629x^62+984x^63+1900x^64+1668x^65+2476x^66+2148x^67+1877x^68+1388x^69+1462x^70+720x^71+615x^72+236x^73+179x^74+20x^75+47x^76+4x^77+16x^78+8x^80+5x^82+1x^86

The gray image is a code over GF(2) with n=536, k=14 and d=248.
This code was found by Heurico 1.16 in 75.5 seconds.