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

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

Homogenous weight enumerator: w(x)=1x^0+42x^40+132x^41+167x^42+366x^43+163x^44+88x^45+39x^46+22x^47+2x^48+1x^50+1x^82

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 0.0388 seconds.