The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+440x^38+448x^39+1432x^40+1896x^41+2844x^42+2564x^43+2690x^44+1800x^45+1304x^46+416x^47+410x^48+16x^49+76x^50+28x^51+9x^52+8x^54+1x^56+1x^60

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 35.7 seconds.