The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+98x^38+318x^39+697x^40+1106x^41+1308x^42+1300x^43+1272x^44+1082x^45+545x^46+230x^47+132x^48+48x^49+25x^50+8x^51+10x^52+2x^53+6x^54+2x^57+1x^58+1x^62

The gray image is a code over GF(2) with n=344, k=13 and d=152.
This code was found by Heurico 1.16 in 0.622 seconds.