The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^56+60x^57+78x^58+170x^59+225x^60+384x^61+641x^62+712x^63+1342x^64+928x^65+1356x^66+724x^67+632x^68+368x^69+197x^70+184x^71+54x^72+52x^73+18x^74+2x^75+11x^76+9x^78+5x^80+3x^82+4x^84+1x^86+1x^98

The gray image is a code over GF(2) with n=520, k=13 and d=224.
This code was found by Heurico 1.16 in 1.57 seconds.