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

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

Homogenous weight enumerator: w(x)=1x^0+39x^56+92x^57+247x^58+362x^59+548x^60+856x^61+1129x^62+1742x^63+2255x^64+2200x^65+2001x^66+1674x^67+1178x^68+832x^69+528x^70+274x^71+139x^72+92x^73+69x^74+36x^75+30x^76+24x^77+14x^78+8x^79+2x^80+10x^82+1x^86+1x^90

The gray image is a code over GF(2) with n=520, k=14 and d=224.
This code was found by Heurico 1.16 in 6.03 seconds.