The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^42+316x^43+653x^44+1168x^45+1114x^46+1384x^47+1107x^48+1168x^49+596x^50+316x^51+126x^52+18x^54+27x^56+6x^58+4x^60+1x^64+1x^68

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 2.82 seconds.