The generator matrix

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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+58x^56+252x^57+761x^58+1232x^59+2311x^60+3512x^61+5112x^62+7076x^63+7939x^64+9160x^65+8118x^66+7060x^67+4896x^68+3584x^69+2114x^70+1100x^71+682x^72+252x^73+197x^74+44x^75+37x^76+8x^77+18x^78+12x^80

The gray image is a code over GF(2) with n=520, k=16 and d=224.
This code was found by Heurico 1.16 in 47.8 seconds.