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  2  0  1  2 12  2  1  1  1  1  8  2  1  1  4  1  1  1  2  1  1  1  0  1  2  2  8  1  1  1  4  1 12  2  1  1 12  8  1  1  2  2  1
 0  2  0  6  4 14 12  2  0  8  6  6  2 12 12 10  8 14  4  6  0  6  6  2  6 10  2 14 12  2 10 12  2  2  4  6  2 12  8  6  6  8  6 10  2 12 14  2  2 12  4  0  4  4  2 10 10 10  2  2  2  8 10 14 14
 0  0 12  0  4  4  0  4  0  4  0 12  8  8  4  4  4 12  4  0  8  8  0  0 12  0  8  4  8 12  4  8  4 12  8  8 12 12  4  4  8  4  8 12  0  0  4  4 12  4 12  4 12  4  8  8  0  0  8  4  0 12  0 12  4
 0  0  0  8  0  0  0  0  0  0  0  8  8  0  0  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  8  0  8  8  8  8  0  0  0  8  8  0  8  8  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  0  8  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  8  8  0  0  0  8  8  0  0  0  8  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  8  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  8  0  8  8  8
 0  0  0  0  0  0  0  8  8  8  0  0  0  8  8  8  0  8  8  0  0  8  0  8  0  8  8  0  8  0  8  0  8  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  0  8  0  8  0  0  8  0  8  8  8  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+44x^56+100x^57+193x^58+458x^59+419x^60+1118x^61+795x^62+2390x^63+1165x^64+3158x^65+1113x^66+2402x^67+775x^68+1146x^69+376x^70+346x^71+124x^72+94x^73+64x^74+28x^75+21x^76+16x^77+11x^78+8x^79+10x^80+5x^82+1x^84+2x^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 6.28 seconds.