The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+397x^42+120x^43+684x^44+432x^45+913x^46+320x^47+754x^48+144x^49+271x^50+8x^51+30x^52+11x^54+1x^56+8x^58+1x^60+1x^68

The gray image is a code over GF(2) with n=368, k=12 and d=168.
This code was found by Heurico 1.16 in 55.3 seconds.