The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^42+9x^44+2x^46+1x^48+1x^52

The gray image is a code over GF(2) with n=336, k=6 and d=168.
This code was found by Heurico 1.16 in 0.0435 seconds.