The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^38+664x^39+1586x^40+2106x^41+2591x^42+2334x^43+2796x^44+1844x^45+1207x^46+636x^47+309x^48+74x^49+21x^50+14x^51+12x^52+8x^53+5x^54

The gray image is a code over GF(2) with n=344, k=14 and d=152.
This code was found by Heurico 1.16 in 1.51 seconds.