The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^42+48x^43+15x^44+16x^45+9x^46+1x^50

The gray image is a code over GF(2) with n=344, k=7 and d=168.
This code was found by Heurico 1.16 in 0.0257 seconds.