The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^42+64x^43+12x^44+8x^46+3x^48+4x^50

The gray image is a code over GF(2) with n=344, k=7 and d=168.
This code was found by Heurico 1.16 in 0.0259 seconds.