The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^52+564x^53+955x^54+1674x^55+2895x^56+3504x^57+4903x^58+3994x^59+4873x^60+3452x^61+2513x^62+1578x^63+962x^64+480x^65+187x^66+78x^67+21x^68+32x^69+14x^70+4x^71+2x^72+2x^74+2x^78

The gray image is a code over GF(2) with n=472, k=15 and d=208.
This code was found by Heurico 1.16 in 8.89 seconds.