The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  2  0  2  2  1
 0  2  0 14  0  6  0 10  4  6 12  2  4 14 12 10  8  6 12 14  8 10  4 10  8 14  8  6 12  2  4  2  6  2 10  8  2 14  2  0
 0  0 12  4  8 12  4  8  4  0  0  4 12  8  8 12  8  8 12 12  4  0  0  4  0  0 12  4  4 12  8  8  0  4  8 12  0  4  4  0

generates a code of length 40 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+70x^38+82x^39+214x^40+76x^41+56x^42+2x^43+9x^44+1x^46+1x^66

The gray image is a code over GF(2) with n=320, k=9 and d=152.
This code was found by Heurico 1.16 in 0.0375 seconds.