The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^56+196x^57+578x^58+454x^59+625x^60+284x^61+622x^62+414x^63+545x^64+150x^65+76x^66+26x^67+16x^68+8x^69+2x^71+3x^72+2x^73+3x^74+1x^82+1x^84

The gray image is a code over GF(2) with n=488, k=12 and d=224.
This code was found by Heurico 1.16 in 0.313 seconds.