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

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

Homogenous weight enumerator: w(x)=1x^0+106x^40+128x^42+512x^43+248x^44+12x^48+16x^52+1x^80

The gray image is a code over GF(2) with n=344, k=10 and d=160.
This code was found by Heurico 1.16 in 5.67 seconds.