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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+298x^56+342x^57+361x^58+240x^59+240x^60+234x^61+207x^62+36x^63+64x^64+12x^65+7x^66+4x^68+1x^82+1x^84

The gray image is a code over GF(2) with n=472, k=11 and d=224.
This code was found by Heurico 1.16 in 0.13 seconds.