The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+27x^40+68x^42+320x^43+75x^44+12x^46+8x^48+1x^84

The gray image is a code over GF(2) with n=344, k=9 and d=160.
This code was found by Heurico 1.16 in 0.0466 seconds.