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  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  2  1  1  1  4  1  2  1  1  1  8  1  2  1  4  1  1  0  2  1  1  1  2  1
 0 12  0  0  0  0  0  0  0  4 12 12  4 12  4 12  8 12  8 12  0  8 12  8  4 12 12  8  4  4 12  0  8 12  0  8  8  8  0  4  0 12  0  4  4  8 12  0  4  8  0 12  0  8  0  4 12  4  0  4  8 12  8 12  8  4
 0  0 12  0  0  8 12 12  4  4  4  8  4 12  0  8  0  8  0  4  4  4  4  4 12  8  0 12 12  0  8  8 12  0  0  8  8 12  0  0  8  4  0  0  4  8  8 12  4  0  4  8  4  4 12  0 12  0 12 12  4 12  0 12  4  4
 0  0  0 12  0 12 12  4  8  0  0  0  4 12  4  4  8 12  4  4  8  8  4  4  0  0  8  4  0  8  4  4 12  0  0  4  8 12  4 12  0  0  8  4  0  4  8  4  8 12  0  8  0  0 12  4  8  8  8  4 12  0  0 12  0  4
 0  0  0  0 12  4  8  4  4  0  4  4  4  0  8 12 12  8  8  4  8 12  0 12  4  8 12  0  0  0  4  4  8  4  8 12  0 12 12 12 12  0  4 12  4  8  0 12  8  0 12  4 12  0  4  0  4  8 12  0  8 12  4  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+62x^59+93x^60+110x^61+171x^62+180x^63+420x^64+698x^65+736x^66+696x^67+405x^68+160x^69+114x^70+60x^71+51x^72+34x^73+26x^74+20x^75+22x^76+22x^77+6x^78+4x^79+2x^82+2x^83+1x^110

The gray image is a code over GF(2) with n=528, k=12 and d=236.
This code was found by Heurico 1.16 in 77.5 seconds.