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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+194x^58+104x^59+511x^60+400x^61+990x^62+1188x^63+1827x^64+1912x^65+2320x^66+1900x^67+1856x^68+1152x^69+826x^70+380x^71+395x^72+120x^73+142x^74+12x^75+92x^76+36x^78+14x^80+4x^82+5x^84+2x^88+1x^96

The gray image is a code over GF(2) with n=528, k=14 and d=232.
This code was found by Heurico 1.16 in 12.8 seconds.