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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+14x^41+11x^42+208x^43+12x^44+4x^46+3x^48+2x^57+1x^58

The gray image is a code over GF(2) with n=344, k=8 and d=164.
This code was found by Heurico 1.16 in 0.0653 seconds.