The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+197x^52+834x^53+2084x^54+3424x^55+5461x^56+7148x^57+9274x^58+8970x^59+9134x^60+7406x^61+5443x^62+3040x^63+1810x^64+744x^65+272x^66+124x^67+95x^68+44x^69+15x^70+8x^71+6x^72+2x^75

The gray image is a code over GF(2) with n=472, k=16 and d=208.
This code was found by Heurico 1.16 in 34.7 seconds.