The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+414x^40+856x^41+650x^42+724x^43+485x^44+352x^45+218x^46+228x^47+141x^48+16x^49+4x^50+7x^52

The gray image is a code over GF(2) with n=344, k=12 and d=160.
This code was found by Heurico 1.16 in 0.124 seconds.