The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  0  1  1  1  1 14 12  1  2  1  1  1  1 14  1  1  1  4 14  1  1  4  1  1  1  1  1 14  1  6  1  2  8  1  1  1  6 12  1  1  1  1  1  1 14  1  1  1  0  4  2  4  4  1
 0  1 11  6  1  1 12 13  1  2  7  1  1  3  8  5 14  1  1  3  1  6  0 13 10  1  3  1  0  1  1  2  5  1 10 12  3 11 13  1  5  1  0  1  1  0  2  6  1  1 13  7  0 14  1  5  1 10  8  5  1  2 14 12  1 11
 0  0 12  0  0  0  0  0  0  0  4  8  0  8  4  8 12 12  8  4 12 12  0  4  4  8  8  4  4 12 12 12  8 12  8  8 12  4  0  4  0 12  0  4  8  8  4 12  8  4  0  8 12  4 12  4  8 12 12  8  8  8  8  0  8  8
 0  0  0 12  0  0  0  0  8  4  0  0  4  4  4  4  4  8  4  4  0  8  4  0 12  4  8 12  4  4 12  8 12  8  8  0  4  0  4  0  8 12 12  4 12  4 12  8  4  8 12 12  8  8  4 12 12  0 12 12  4  0  8 12  4  8
 0  0  0  0  4  0  8  4 12  8  8 12 12  4  4 12 12  8 12  0  0  4  4  8  0  0  0 12  8  4 12  0  0  4  4  4  8  4  8 12  8  8  4  4  8  8  8  0  4  4  4  8  4 12 12  0  4  4  8 12  0 12  4  8  8 12
 0  0  0  0  0  8  8  8  0  8  8  8  0  8  0  0  8  0  8  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  0  0  0  0  8  0  0  0  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+197x^58+112x^59+805x^60+852x^61+1838x^62+2520x^63+3502x^64+4152x^65+4752x^66+4284x^67+3638x^68+2532x^69+1810x^70+752x^71+553x^72+144x^73+177x^74+12x^75+78x^76+20x^78+24x^80+6x^82+7x^84

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 16.5 seconds.