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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+88x^41+156x^42+88x^43+62x^44+76x^45+34x^46+1x^48+4x^49+1x^50+1x^66

The gray image is a code over GF(2) with n=344, k=9 and d=164.
This code was found by Heurico 1.16 in 0.0511 seconds.