The generator matrix

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

generates a code of length 66 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+62x^57+106x^58+262x^59+492x^60+816x^61+1688x^62+2528x^63+3680x^64+4554x^65+4539x^66+4588x^67+3584x^68+2490x^69+1782x^70+738x^71+333x^72+222x^73+118x^74+60x^75+26x^76+44x^77+18x^78+14x^79+9x^80+2x^81+5x^82+2x^83+2x^84+2x^85+1x^88

The gray image is a code over GF(2) with n=528, k=15 and d=228.
This code was found by Heurico 1.16 in 14.5 seconds.