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

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

Homogenous weight enumerator: w(x)=1x^0+178x^56+164x^57+505x^58+404x^59+685x^60+486x^61+641x^62+300x^63+292x^64+144x^65+141x^66+12x^67+84x^68+22x^69+24x^70+4x^71+7x^72+1x^76+1x^94

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 0.495 seconds.