The generator matrix

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

generates a code of length 47 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+117x^42+390x^43+739x^44+1058x^45+1308x^46+1192x^47+1289x^48+966x^49+557x^50+266x^51+168x^52+58x^53+31x^54+24x^55+10x^56+14x^57+2x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=376, k=13 and d=168.
This code was found by Heurico 1.16 in 0.649 seconds.