The generator matrix

 1  0  1  1  1  6  1 10  1  1 12  1  1  1 14  8  1  1 14  1  1  1  0  2  1  4  1  1  2  1  1  1  6  1  1  1 12  1  1  1  1  1  1
 0  1 11  6 13  1  2  1 11 12  1 13  8  3  1  1 11  6  1  5  0 10  1  1  1  1 13 14  1 14  9 12  1 15  0  7  1  5  0 13  3  3  1
 0  0 12  0  4  4  8  4  0  8  0  0  4  4  0  0  8  4  4 12 12  8  8  8 12  0  0  4 12  8 12  0  0 12 12  4  4  8  8  0 12  8 12
 0  0  0 12  0  4  4 12  4  0  0  4  8  4  4 12  8 12  8  4 12  0  8 12  8  4  0  0  8 12  4  8  8  4 12  8 12  8  4  0 12 12  0
 0  0  0  0  8  0  8  8  0  8  8  8  8  8  0  8  8  8  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  8  0  8  8  8  8  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+170x^38+244x^39+621x^40+1184x^41+1176x^42+1496x^43+1136x^44+1184x^45+543x^46+244x^47+140x^48+22x^50+20x^52+9x^54+2x^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 0.641 seconds.