The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  8  2  2  2  2  2  1 12  2  1  2  8  2 12  1  2  1  1  1  1 12  2  2  1 12  1  1  2 12  8  2  1  1  1  2  2  2  1
 0  2  0  2  0  0  2 10  8  8 14 14  8  8  2 10 14 14  0  4  8 12  2  2 10 12 10  0  2  2 14  2  4  2 14  8  0  8  2 10 12 14  2 10  6  0  6  2 12  2  2 12 14  4  0 12  2  2  2 14 10  8 10 10 12  8 12
 0  0  2  2  0  6 10  8  6  0 14  0  4  6  6  8  2  0  6  8  6  4  6  8  2  4  0  6  6  4 10  8 10  4  6  4  2  2 12 12  2  4 10  4  0  6  6  0 14  4  2  2 14  2 14  4  2  8 10  8  6  2  6 14  8  2  6
 0  0  0  4  0  0  4  0  0  0 12  0  0  0  4  0  0 12 12 12  4  4  8 12  8  4 12  4  4  4  4 12 12 12  8  4  4  8 12  0  0  8  8 12  0  0  4  4  4  4  8  8 12  4 12 12 12  8 12  4  4  4  8  0  4  0  0
 0  0  0  0 12  0 12  4 12  0 12  8 12 12  8 12  0  8 12  0  4  0  4  4 12 12 12  0  0  8 12  0 12 12  0 12  4  8  0  4 12  8  8 12  8  4  4  0  4 12  0  4  0  8  4  8  4 12  8  0  0  0 12 12  8  8  8
 0  0  0  0  0 12  0  0 12  4 12  4  4  0 12 12  8  8  4 12  8  8  4 12  0  0  8  0  0  4  0  0  4  0  4  4  8  8  4 12 12  8  4  8  0  8  8 12  4 12  0  8  4  8 12  8  0  4  4 12  8 12 12  0  0  8 12

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

Homogenous weight enumerator: w(x)=1x^0+106x^57+352x^58+544x^59+983x^60+1612x^61+2393x^62+2942x^63+5454x^64+5652x^65+9295x^66+6922x^67+9251x^68+5778x^69+5518x^70+3082x^71+2284x^72+1360x^73+906x^74+462x^75+307x^76+114x^77+89x^78+56x^79+21x^80+34x^81+7x^82+8x^83+3x^84

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 86.3 seconds.