The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+482x^43+746x^44+782x^45+605x^46+484x^47+343x^48+318x^49+161x^50+114x^51+28x^52+16x^53+2x^54+12x^55+1x^56+1x^60

The gray image is a code over GF(2) with n=368, k=12 and d=172.
This code was found by Heurico 1.16 in 0.125 seconds.