The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  8  1  1 14  1  1  4  1  1  2  1  1  2  1  2  0  2  2 12 12  1 10  2  1  2  1  2  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  7  1  2  1  1  0  6  8  3 14  2  4 10  2  1  9  1  0 12 12 10  6 15  8

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

Homogenous weight enumerator: w(x)=1x^0+109x^42+54x^43+52x^44+32x^45+1x^46+2x^47+5x^48

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 0.0162 seconds.