The generator matrix

 1  0  1  1  1  4  2  1  1  1  6  1  1  1  8  1 14  1  8  1  1  1  1 10  1  1  1  0  2  1  1  1  8  1  1  4  8  1  1  1  1  1  6  1  1 10  8 12  1  1  2  1  6  4  1  1  4  1  1  1 10  2  2  1  1  1 10
 0  1  1  6  7  1  1  4  7 10  1  5 12 11  1  9  1  8  1  6 11  9  2  1 10  1 15  1  1 12 15  2  1 10 13  1  1  5 12  9  0  1  1 14  7  1  1  1  7  7 10  4  1  1 11 10  2 15 14 15  1 10  1 13  8  8  1
 0  0  2  0 14 10  6 10  8  6  0  8  8  0 10  0 14 14  0  4  6 10  2  4  4  4 12  6 12 10  2  8 12  2  0 12 14  2 14 14  2  6 14  4 10  0 10  4  8 14  2 12 10  0 12  6 14  0 10  6  8 10 10  8 12 14 10
 0  0  0 12  0  0  4  0 12  0  0  0  8 12  0  8  4  4 12  4 12  4  8 12 12  8  4  0  8  4 12  4  0 12  8  8 12  4  0  8  0 12  0  8  0  4 12 12  8 12  0  8 12  8 12  4  0  8 12  0  4  8  0  4  4  8  8
 0  0  0  0  8  8  0  0  0  8  8  8  8  8  0  0  8  0  0  8  0  8  0  8  0  0  0  8  8  0  0  0  0  8  8  8  0  0  0  0  8  0  0  8  0  0  8  8  0  8  8  0  8  8  8  8  0  8  0  0  8  8  8  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+276x^61+452x^62+1166x^63+1315x^64+2166x^65+1915x^66+2242x^67+1804x^68+2068x^69+1238x^70+914x^71+299x^72+216x^73+92x^74+106x^75+34x^76+32x^77+14x^78+16x^79+10x^81+1x^82+4x^83+2x^84+1x^88

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 21.3 seconds.