The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^42+44x^43+6x^44+4x^47+1x^48+2x^54

The gray image is a code over GF(2) with n=344, k=6 and d=168.
This code was found by Heurico 1.16 in 0.0254 seconds.