The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^61+257x^62+426x^63+593x^64+452x^65+604x^66+458x^67+413x^68+226x^69+251x^70+196x^71+42x^72+24x^73+5x^74+4x^75+2x^78+2x^79+6x^80+2x^83+1x^90+1x^92

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 0.431 seconds.