The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  2  2  1  4  1  8  0  8  2  0  1 12  2  4  8  1  1  4  2  1  4  8  2  1  2  1  4  1  1  1
 0  2  0  0  0  2  6 14  0  8  0  0  6 10  6 12 14  8  2 12  2  6  4  4 14  4  2 14  2 14 12 14  2  0  2  0  2 10  2 10  4 12  8  0  6  2  4  6 10  2  2  4  2 14  4  2 10  8 12
 0  0  2  0  2  2  2  0  4 14  8 14 10  8 14  2 12 12 10  8 14  4  8  6  0  2 14  4  6 14  2  6 10  4  0  8 14  0  8 12  2  4  0  2  4  0  2  8  8  2 12 14  2 12 14 12 10  6  0
 0  0  0  2  2  0  2 10  8  2 14  4  4  2 14  6  0 10  6 12  8  2  0 12  0  8 14 12  8  2 12  0 14 14  2  2  4  6  8  2  4  2  2  4  8  8  8  6 12  0  4  8 10  4  2  6  2 14 10
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  0  0  0  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  8  8  8  8  8  0  0  8  0  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  8  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  8  0  0  8

generates a code of length 59 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+170x^51+357x^52+736x^53+1298x^54+1760x^55+2253x^56+3814x^57+3766x^58+4558x^59+3891x^60+3750x^61+2328x^62+1754x^63+952x^64+614x^65+385x^66+160x^67+96x^68+74x^69+29x^70+14x^71+2x^72+4x^73+1x^74+1x^78

The gray image is a code over GF(2) with n=472, k=15 and d=204.
This code was found by Heurico 1.16 in 16.3 seconds.