The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+226x^55+560x^56+568x^57+580x^58+432x^59+502x^60+464x^61+472x^62+166x^63+34x^64+40x^65+20x^66+20x^67+4x^68+4x^71+2x^76+1x^80

The gray image is a code over GF(2) with n=472, k=12 and d=220.
This code was found by Heurico 1.16 in 0.358 seconds.