The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+88x^57+194x^58+326x^59+606x^60+1104x^61+2017x^62+3482x^63+5091x^64+6828x^65+8478x^66+9196x^67+8628x^68+6868x^69+4984x^70+3300x^71+1966x^72+1134x^73+537x^74+306x^75+162x^76+90x^77+62x^78+26x^79+26x^80+14x^81+15x^82+4x^83+2x^85+1x^86

The gray image is a code over GF(2) with n=536, k=16 and d=228.
This code was found by Heurico 1.16 in 83.2 seconds.