The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+306x^55+314x^56+434x^57+159x^58+328x^59+220x^60+146x^61+7x^62+78x^63+24x^64+16x^65+9x^66+4x^71+1x^74+1x^76

The gray image is a code over GF(2) with n=464, k=11 and d=220.
This code was found by Heurico 1.16 in 0.157 seconds.