The generator matrix

 1  0  0  1  1  1 10 14  1  6  1  1  1 12  1 10  1  1  1 12  6  0  1  1  2  1  0  1 12  4  1 10  2  1  1  1  1  1  0  1  1  1  1  1  8  1  1 10  1 12  1  6  1  6 10 10  0 14  1  1  0  6  8  1  1  1
 0  1  0  0  5  5  1  8  0  1  7  6 11  1 10  1 10  1 15 10  1  1  7 12  6 13  1  6  6  1  7  1  1  5  2  8  1  4  1 13  6 11 12  6  1  2  8  6  4  0  6  1  7  0  1  1 12  1 11 14  1  0  1  5  8  0
 0  0  1 11  7  0  7  1 14  2  7  3  0  5  5  4  4  5 14  1  1 10  9 13  1 12 15  0  1 10  8  1 14 13  7 15  0  4 10  5  4  2  6 13 11 14  4  1  1  1  8  3  9  1  3 13  1 13 12  2 12  1 13 13  8  0
 0  0  0 12  4  8 12 12  4  4  0  0  4  8  8  4 12 12 12  4  4  0  0  4  0  0  8  8  4  8 12  0  0  4  4  8  4  8 12  0  4 12  8  8  0  0  4  4  8 12 12  0  4  8  0  4  8  8  0 12  4  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  8  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+112x^59+534x^60+1216x^61+1944x^62+2804x^63+3360x^64+4558x^65+4179x^66+4496x^67+3263x^68+2670x^69+1651x^70+960x^71+504x^72+274x^73+131x^74+40x^75+26x^76+18x^77+13x^78+4x^79+7x^80+2x^82+1x^84

The gray image is a code over GF(2) with n=528, k=15 and d=236.
This code was found by Heurico 1.16 in 10.6 seconds.