The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^42+228x^43+152x^44+520x^45+204x^46+440x^47+153x^48+176x^49+48x^50+36x^51+12x^52+8x^53+1x^58+2x^64

The gray image is a code over GF(2) with n=368, k=11 and d=168.
This code was found by Heurico 1.16 in 0.072 seconds.