The generator matrix

 1  0  1  1  1 14  1  1  4  1  1  4 10  1  1  1 12  1  6  1  1  1  6  1  1  6  1  8  1  1  1  1  1  1  8  1 12  0  1 14  1  1 10  1  1  8  2  1  8  2  1  1  6  1  1  1  1  1  6  1 14  1  6  1  1  1
 0  1  1  0  7  1  2  3  1  6  5  1  1  4 15 10  1 15  1  8 13 10  1  5  7  1 14  1 11  4  4  7  1 14  1  1  1  1  6  1  3  1  1 10  8  0  2  9 12  1 15 14  1  0  7  9 12  9  1  9  1 15  1 14  0  0
 0  0  2  6  2  4 14  0  2  0  8  4  6  6  8 10  6  6  6  4  0  0  4  2  6 10  2 12  0  4 14  2  4  8  2  0  4  0 12  2 14  0 10  6  8  2  2 10  2  8  0  4 10  2 12  4 10  2 14 14 10  4  4  6  8  0
 0  0  0 12  0  0 12  8  0  8  0  8  0  4  0 12  8  8  8  0 12  0  4  4 12 12  8  4  4 12  8 12  8  4  4 12  4  8  8 12  8  0  4  0  4  0  0 12  0  0  4 12  8  0  4  8  4 12 12  4  8 12  4  0  8  8
 0  0  0  0  8  0  8  0  8  8  8  8  0  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  8  0  8  0  0  8  8  8  8  0  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  8  8  8  0  8  0  0  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  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+71x^58+252x^59+457x^60+1182x^61+1669x^62+2890x^63+3360x^64+4286x^65+4317x^66+4784x^67+3424x^68+2664x^69+1513x^70+956x^71+373x^72+288x^73+101x^74+68x^75+54x^76+26x^77+5x^78+10x^79+10x^80+2x^81+3x^82+1x^84+1x^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 13.6 seconds.