The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^58+178x^59+732x^60+964x^61+1830x^62+2590x^63+3398x^64+4538x^65+4375x^66+4592x^67+3573x^68+2378x^69+1677x^70+834x^71+567x^72+222x^73+119x^74+48x^75+43x^76+26x^77+15x^78+8x^79+6x^80+6x^83+2x^86

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 13.5 seconds.