The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  2  4  1  4  1  1  8  2  2
 0 12  0  0  0  4 12 12  8  8  0  0  4  4  4 12  8  4  4  0  4  8 12  8  4  4  0  0  4  0  8  4  8  0 12  8  0  4  4  8  0  4  0
 0  0 12  0  4  4  4  0  8  0  4 12  4  4  0  8  0 12 12  8  8  4  4 12  0  4  0  0  8 12  4  8  8  0 12 12  8  0 12  4  4  0 12
 0  0  0 12  4  8  4  4  0  4  4  0  0 12  4  8  4  8  0 12  8  8 12  4  8  0  4  8  0  4  8  0  4  0 12 12  8 12  4  0 12  8  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+82x^38+12x^39+212x^40+200x^41+386x^42+352x^43+356x^44+184x^45+140x^46+20x^47+53x^48+26x^50+15x^52+6x^54+2x^56+1x^68

The gray image is a code over GF(2) with n=344, k=11 and d=152.
This code was found by Heurico 1.16 in 0.112 seconds.