The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0 10 12  6  4 14  0 10  8  2 12  6  0 10  0 10  6 14 12 12  8 14  4 10  0  8  6  6  4  4 10  6 10  2 12 12 12  6
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  0  8  0  8
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  8  8  0  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0  0  0  8  8  8  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  8  0  0
 0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  8  0  0  0  8  8  0  8  8  0  0  0  8  0  0  8  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^41+69x^42+78x^43+18x^44+300x^45+984x^46+300x^47+7x^48+78x^49+66x^50+70x^51+6x^52+1x^90

The gray image is a code over GF(2) with n=368, k=11 and d=164.
This code was found by Heurico 1.16 in 0.199 seconds.