The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+156x^40+528x^41+1317x^42+2748x^43+4987x^44+7416x^45+10288x^46+10434x^47+10818x^48+7524x^49+4757x^50+2442x^51+1257x^52+554x^53+173x^54+80x^55+25x^56+8x^57+6x^58+6x^59+4x^60+2x^61+3x^62+2x^63

The gray image is a code over GF(2) with n=376, k=16 and d=160.
This code was found by Heurico 1.16 in 26.4 seconds.