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

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

Homogenous weight enumerator: w(x)=1x^0+88x^56+280x^57+398x^58+778x^59+1053x^60+1820x^61+2062x^62+3924x^63+3611x^64+4960x^65+3539x^66+3796x^67+2156x^68+1926x^69+925x^70+612x^71+330x^72+210x^73+101x^74+90x^75+55x^76+14x^77+12x^78+16x^79+2x^80+6x^81+1x^82+1x^86+1x^90

The gray image is a code over GF(2) with n=520, k=15 and d=224.
This code was found by Heurico 1.16 in 19.9 seconds.