The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^40+10x^42+2x^44+2x^46

The gray image is a code over GF(2) with n=320, k=6 and d=160.
This code was found by Heurico 1.16 in 0.0233 seconds.