The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^58+152x^59+214x^60+550x^61+769x^62+1556x^63+1412x^64+2684x^65+1886x^66+2542x^67+1427x^68+1556x^69+592x^70+512x^71+241x^72+130x^73+28x^74+32x^75+23x^76+4x^77+10x^78+4x^79+6x^80+2x^81+7x^82+2x^83+4x^84+2x^85+1x^86

The gray image is a code over GF(2) with n=528, k=14 and d=232.
This code was found by Heurico 1.16 in 3.82 seconds.