The generator matrix

 1  0  0  1  1  1 10  2  1  1  1  1 14 12  1  1 12  1  4  1  6  1  4 10  1 10  1  1 12  1  6  1 14  6  1 10  1  1  6  1 14 10  1  4  1  2 14  1  4  1  1 14  1  1  8  1  1  1  6 12  6
 0  1  0  0  5 13  1  6  1  9  4  4  1  1 14  3  1 10 14 15  1 15  1  1 11  0 14  6  1  5  1  0  1  8  7  1 14 15  8 13 10  1 11 10 15  1  1  3  1 12  7  1  1 14  1 13  2  2  1  1  0
 0  0  1 11  7  4  7  1  1  2  6 13  6  5  5  1 15  6  1 12  0 10 14  1  3  1  7  8 12 13  7  8 10  1 12  3 11 14  1  0  1  0  5  1 14  0 13  1 13  4 15  6  0 12  7  7  9 11 14  8  1
 0  0  0 12 12  0 12  4  0 12  4  8  4  0 12 12  4  0  4  4  8  0  8 12  8  8  0  8  8  4  0  4 12 12  0  8 12  8  0  4 12  0  8  0 12 12  0  0 12  8  4  8 12 12  0  4  8  4 12 12  8

generates a code of length 61 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+523x^56+964x^57+1694x^58+1936x^59+2352x^60+2220x^61+2116x^62+1588x^63+1266x^64+708x^65+592x^66+208x^67+119x^68+44x^69+28x^70+12x^71+10x^72+2x^74+1x^76

The gray image is a code over GF(2) with n=488, k=14 and d=224.
This code was found by Heurico 1.16 in 15 seconds.