The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+208x^38+208x^39+648x^40+1024x^41+1347x^42+1376x^43+1323x^44+1024x^45+631x^46+208x^47+157x^48+11x^50+8x^52+9x^54+6x^56+2x^58+1x^60

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 0.71 seconds.