The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+208x^38+654x^39+1532x^40+2028x^41+2653x^42+2614x^43+2509x^44+1822x^45+1346x^46+584x^47+265x^48+84x^49+49x^50+18x^51+13x^52+2x^53+2x^55

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 1.7 seconds.