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

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

Homogenous weight enumerator: w(x)=1x^0+220x^58+456x^59+1020x^60+1128x^61+1874x^62+2392x^63+3458x^64+3732x^65+4412x^66+3756x^67+3545x^68+2416x^69+1668x^70+948x^71+766x^72+420x^73+284x^74+92x^75+125x^76+16x^77+18x^78+4x^79+10x^80+4x^82+2x^84+1x^88

The gray image is a code over GF(2) with n=528, k=15 and d=232.
This code was found by Heurico 1.16 in 23 seconds.