The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^61+172x^62+606x^63+802x^64+926x^65+1050x^66+862x^67+1201x^68+964x^69+668x^70+408x^71+156x^72+150x^73+26x^74+30x^75+13x^76+12x^77+4x^78+6x^79+8x^83+2x^84+1x^88

The gray image is a code over GF(2) with n=536, k=13 and d=244.
This code was found by Heurico 1.16 in 2.66 seconds.