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

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

Homogenous weight enumerator: w(x)=1x^0+285x^58+456x^59+990x^60+936x^61+2239x^62+1980x^63+4102x^64+2608x^65+5392x^66+3104x^67+4106x^68+1932x^69+2146x^70+876x^71+749x^72+248x^73+341x^74+112x^75+88x^76+36x^77+23x^78+11x^80+6x^82+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 19.7 seconds.