The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+200x^38+272x^39+722x^40+496x^41+742x^42+496x^43+710x^44+272x^45+164x^46+4x^48+6x^50+1x^52+8x^54+1x^56+1x^60

The gray image is a code over GF(2) with n=336, k=12 and d=152.
This code was found by Heurico 1.16 in 0.458 seconds.