The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1 12  6  1  1  0  4 10  4  6  2  0 12 10  4  1  1  2  2  1  1  0  4  4
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1 15 10  1  1  1  4  1  2  1  1  1  1  1  1  1  2  0  4  4  2 13  5  1  1  2
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  0  8  0  0  4 12  4  0  4  8 12  4  8  4  4  0  8  0  8 12 12  8  0  8  0  4
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  8  8  0  0  8  0  0  0  8  0  0  8  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+370x^40+144x^41+474x^42+240x^43+384x^44+112x^45+188x^46+16x^47+99x^48+10x^50+4x^52+6x^56

The gray image is a code over GF(2) with n=344, k=11 and d=160.
This code was found by Heurico 1.16 in 10.4 seconds.