The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^56+360x^57+345x^58+514x^59+469x^60+716x^61+450x^62+486x^63+275x^64+328x^65+59x^66+22x^67+8x^68+4x^69+7x^70+2x^71+2x^72+2x^74+1x^84+1x^86

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 0.357 seconds.