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  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4 12 12 12 12  0  0  8  8  0  4  8  4  4  4  0 12  8  4  0 12  8  4  0 12  8  0  0
 0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+18x^41+13x^42+200x^43+10x^44+4x^45+2x^46+5x^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 0.0423 seconds.