The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^42+86x^44+22x^46+2x^54+1x^56

The gray image is a code over GF(2) with n=344, k=8 and d=168.
This code was found by Heurico 1.16 in 0.0606 seconds.