The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+120x^39+431x^40+600x^41+606x^42+852x^43+479x^44+428x^45+300x^46+136x^47+90x^48+24x^49+6x^50+12x^51+5x^52+4x^53+2x^56

The gray image is a code over GF(2) with n=344, k=12 and d=156.
This code was found by Heurico 1.16 in 0.203 seconds.