The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+340x^38+280x^39+902x^40+684x^41+1384x^42+1200x^43+1386x^44+648x^45+692x^46+200x^47+288x^48+44x^49+112x^50+16x^51+14x^52+1x^64

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 78.7 seconds.