The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1x^42+24x^43+1x^44+4x^45+1x^46

The gray image is a code over GF(2) with n=336, k=5 and d=168.
This code was found by Heurico 1.16 in 0.0232 seconds.