The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+427x^56+128x^57+564x^58+396x^60+128x^61+296x^62+95x^64+4x^66+4x^68+4x^72+1x^88

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 8.28 seconds.