The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+242x^42+64x^43+180x^44+20x^46+1x^48+2x^50+1x^52+1x^60

The gray image is a code over GF(2) with n=344, k=9 and d=168.
This code was found by Heurico 1.16 in 95.4 seconds.