The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  1  1  1  1  2  1  4  1  1  0  4  1  2  2  1  4  1  8  1  1  1  1  2
 0  2  0  2  8  0  6  6  8  8  2 10  8  2  6  0  2  4  6 12  4 14  6  4  0  2 10  0 10  4 10 12  2  8  8  4 10  8  6 12  2  0 14  0  4 10  4 10  6  4 12  2  2  2  6 14  8  2  0 12  2  2  6 14 10 14
 0  0  2  2  0 14  6  8  4 10 14  4 12  2  4  6 14  8  8 14  8  4 10  6  8  0  2 10 14  8  4  6  6  6  8  8  8  2  2  2  0  4 14 12 10 12 10  4  0  2 14  4  6  6  2 10 14  8  2  6 12  6 12  8 14  2
 0  0  0  4 12 12  8  4  0  4  4  8  4  0  4  0  8 12 12  0  8  0 12  4  4 12  8 12 12  0  0  8  0  4  8  4  8  8  4  8  4 12  4  8  8  4 12  4  0  0  8  0  0 12  0 12  0 12  4 12  0  8 12  4  0  8

generates a code of length 66 over Z16 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+260x^61+114x^62+468x^63+322x^64+580x^65+684x^66+644x^67+308x^68+332x^69+86x^70+180x^71+8x^72+68x^73+8x^74+20x^75+8x^77+4x^78+1x^112

The gray image is a code over GF(2) with n=528, k=12 and d=244.
This code was found by Heurico 1.16 in 46.7 seconds.