The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+75x^38+426x^39+587x^40+1188x^41+1196x^42+1526x^43+1050x^44+1044x^45+566x^46+312x^47+82x^48+84x^49+17x^50+22x^51+8x^52+4x^53+1x^54+2x^55+1x^58

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 0.577 seconds.