The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  1  1  1  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  4  0  8 12  8  8 12  8  4  8 12  8  4  8  8 12  4  8  8 12  4  4  4 12  4  0  8  8  0  8
 0  0 12  4  0 12  4  0  8  4 12  8  8 12  4  4  8  4  8 12  4  8  8  4  4  0  0 12 12  0  0 12  4  8  4 12  0  0  0  8  4 12  4
 0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+13x^40+74x^41+16x^42+304x^43+18x^44+68x^45+14x^46+2x^49+1x^50+1x^74

The gray image is a code over GF(2) with n=344, k=9 and d=160.
This code was found by Heurico 1.16 in 0.0464 seconds.