The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^40+176x^41+172x^42+194x^43+168x^44+172x^45+65x^46+2x^47+1x^48+2x^50+1x^60+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 0.047 seconds.