The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+110x^41+299x^42+954x^43+782x^44+1586x^45+1017x^46+1498x^47+656x^48+762x^49+238x^50+150x^51+60x^52+38x^53+11x^54+22x^55+5x^56+1x^58+2x^62

The gray image is a code over GF(2) with n=368, k=13 and d=164.
This code was found by Heurico 1.16 in 0.575 seconds.