The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^40+408x^41+30x^42+96x^43+32x^44+384x^45+32x^46+1x^48+8x^49+1x^50+1x^66

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 0.0354 seconds.