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

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

Homogenous weight enumerator: w(x)=1x^0+162x^51+403x^52+916x^53+1268x^54+1692x^55+2732x^56+2934x^57+4205x^58+3878x^59+4622x^60+3132x^61+2588x^62+1760x^63+1084x^64+600x^65+404x^66+204x^67+78x^68+58x^69+12x^70+16x^71+7x^72+6x^73+3x^74+1x^76+2x^77

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 16.5 seconds.