The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  2  1  2  1  2  0
 0  2  0  6  8  6  0 10  4 14 12  6  4  2  4  2 12  6 14  4  2  8 12 14  6 10 10  6  0  0  6  8 12 10  0 12 12  6  0 10 12  6  2
 0  0 12  0  8  4  4  4 12  4  8  0  4  4  0  0  4 12  0  4  8  8  8  4  0 12  0 12  8  0 12  4 12  8  8  0  0  8 12 12 12 12  4
 0  0  0 12 12  4 12  8  8  0 12  0 12  4  8  4  4  4  4  0 12  4  0  8  8 12  8  0  0  4 12  8  0  0  4 12  0  8  8  4 12  8  4

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

Homogenous weight enumerator: w(x)=1x^0+152x^39+80x^40+270x^41+306x^42+476x^43+317x^44+222x^45+44x^46+136x^47+14x^48+18x^49+2x^50+4x^51+3x^52+2x^53+1x^72

The gray image is a code over GF(2) with n=344, k=11 and d=156.
This code was found by Heurico 1.16 in 79.1 seconds.