The generator matrix

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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+222x^45+783x^46+1836x^47+2304x^48+4238x^49+4427x^50+5446x^51+4289x^52+4254x^53+2287x^54+1564x^55+615x^56+284x^57+109x^58+46x^59+23x^60+24x^61+10x^62+4x^63+2x^65

The gray image is a code over GF(2) with n=408, k=15 and d=180.
This code was found by Heurico 1.16 in 7.7 seconds.