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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+100x^59+194x^60+296x^61+401x^62+598x^63+905x^64+1086x^65+1158x^66+1064x^67+905x^68+582x^69+327x^70+252x^71+144x^72+74x^73+22x^74+26x^75+16x^76+10x^77+11x^78+4x^79+10x^80+2x^83+1x^86+2x^87+1x^100

The gray image is a code over GF(2) with n=528, k=13 and d=236.
This code was found by Heurico 1.16 in 60.6 seconds.