The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+416x^42+604x^43+1488x^44+1272x^45+1342x^46+836x^47+1016x^48+516x^49+449x^50+64x^51+126x^52+36x^53+16x^54+9x^56+1x^58

The gray image is a code over GF(2) with n=368, k=13 and d=168.
This code was found by Heurico 1.16 in 0.45 seconds.