The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+262x^61+602x^62+1066x^63+1453x^64+1696x^65+2170x^66+2170x^67+2163x^68+1744x^69+1301x^70+738x^71+498x^72+240x^73+90x^74+90x^75+36x^76+38x^77+1x^78+16x^79+4x^81+2x^82+1x^84+2x^86

The gray image is a code over GF(2) with n=536, k=14 and d=244.
This code was found by Heurico 1.16 in 3.33 seconds.