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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+106x^40+96x^41+236x^42+192x^43+208x^44+96x^45+48x^46+36x^48+4x^50+1x^80

The gray image is a code over GF(2) with n=344, k=10 and d=160.
This code was found by Heurico 1.16 in 0.122 seconds.