The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^59+196x^60+334x^61+443x^62+576x^63+861x^64+1062x^65+1189x^66+1068x^67+808x^68+524x^69+379x^70+288x^71+151x^72+74x^73+31x^74+32x^75+20x^76+18x^77+6x^78+4x^79+7x^80+4x^81+2x^83+3x^84+1x^92

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 14.9 seconds.