The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^56+178x^58+144x^59+643x^60+896x^61+1096x^62+2064x^63+1600x^64+2944x^65+1636x^66+2224x^67+1184x^68+768x^69+504x^70+176x^71+178x^72+42x^74+25x^76+13x^80+2x^84+3x^88+2x^92

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 3.64 seconds.